<<

ACTA UNIVERSITATIS APULENSIS .... No 1 5 slash 2008 \noindenthline ACTA UNIVERSITATIS APULENSIS \ h f i l l No 1 5 / 2008 HOMAGE TO THE MEMORY OF PROFESSOR \ [ GHEORGHE\ r u l e {3em}{ GALBUR0.4 pt }\ to] the power of A-breve Adrian .. ConstantinescuACTA UNIVERSITATIS APULENSIS No 1 5 / 2008 On .. 1 1 .. of August 2007 passed away in the .. dean .. of age of the \ centerlinemathematicians{HOMAGE from TO THE MEMORY OF PROFESSOR } Professor Dr period Doc period .. Gheorghe GALBUR to the power of A-breve \ [Professor GHEORGHE at the GALBUR FacultyHOMAGE of ˆ{\ Mathematicsbreve{ TOA}}\ and THE Computer] MEMORY Science of theOF Univer PROFESSOR hyphen s ity of Bucharest comma Honorary Member of the Institute of Mathematics quotedblright .... Sim i-o n ˘ Stoilow quotedblright .. of the Romanian AcademyGHEORGHEGALBUR comma the founderA of the Algebraic Geometry \ centerline { Adrian \quad Constantinescu } research in Romania period Adrian Constantinescu Born at 27 of May 1 9 1 6 at Trifesti comma Orhei District comma Republic of Moldavia comma period \ hspace ∗{\ f i l lOn}On \quad 1 11 of 1 August\quad 2007of August passed 2007 away passed in Bucharest away the in Bucharestdean ofthe age\quad dean \quad o f age o f the in a countrymanof the family period Graduated in 1 934 the Normal School of Bacau and in the period 1 935 hyphen \noindent mathematiciansmathematicians from Romania Romania 1 936 gave the differences for the Scientific Section of the High School period ˘ Professor Dr . Doc . Gheorghe GALBURA Became in 1 936 a student at the Section of Mathematics of the Faculty \ centerlineProfessor{ Professor at the Dr Faculty . Doc . of\quad MathematicsGheorghe and $ Computer GALBUR ˆ{\ Sciencebreve of{A the}} Univer$ } - of Sciencess of ity the of University Bucharest of Bucharest , Honorary period Member .... In 1 of 939 the comma Institute after the of Mathematics graduation comma ” was Sim nominated Assistant at the Chair of Algebra of this faculty and go to Rome \noindent Professori − o n at the Faculty of Mathematics and of the Univer − for doctoralStoilow studies under ” of the the supervision Romanian of Professor Academy Francesco , the founder Severi comma of the the Algebraic Geometry Head of theresearch famous Italian in Romania Algebraic . Geometry S chool between the two world \noindentwars periods .. ity Obtained of Bucharest in 1 942 the , tit Honorary le of quotedblright Member Doctor of the in MathematicsInstitute quotedblrightof Mathematics .. with ’’ a thesis\ h f i l l Sim $ i−o $ n Born at 27 of May 1 9 1 6 at Trifesti , Orhei District , Republic of Moldavia with the t it,. le .. quotedblright Sull gruppo .. caratteristico .. di una .. corrispondenza fra varieta algebriche quotedblrightin a countryman period family . \noindentFrom 1 943Stoilow continued ’ to ’ work\quad as Assistantof the Romanian at the Chair Academy of Algebra , of the the founder of the Algebraic Geometry research in RomaniaGraduated . in 1 934 the Normal School of Bacau and in the period 1 935 - Faculty of Sciences1 936 gave .. of the University differences of Bucharest for the Scientific comma .. Section led by Professor of the HighOctav School . Onicescu period \ hspace ∗{\ f i l l }BornBecame at 27 in of1 936 May a student1 9 1 6 at at the Trifesti Section of , Mathematics Orhei District of the , RepublicFaculty of Moldavia , . In .. 1 948 ..of is Sciences .. Associated of the Professor University .. of Algebra of Bucharest and Algebraic . ..In Geometry 1 939 , after at the graduation , the University of Iassy and in 1 950 returned to the Chair of Algebra of the \noindent inwas a countryman family . University ofnominated Bucharest period Assistant at the Chair of Algebra of this faculty and go to Rome 5 \ hspace ∗{\ ffor i l l doctoral}Graduated studies in under1 934 the the supervision Normal School of Professor of Bacau Francesco and in Severi the period, the 1 935 − Head of the famous Italian Algebraic Geometry S chool between the two world \noindent 1wars 936 . gave Obtained the differences in 1 942 the for t it the le of Scientific ” Doctor in Section Mathematics of the ” High with School a . thesis \ hspace ∗{\ fwith i l l }Became the t it in le 1” 936 Sull a gruppo student at caratteristico the Section of di Mathematics una corrispondenza of the Faculty fra varieta algebriche ” . \noindent of SciencesFrom 1 of943 the continued University to work of as Bucharest Assistant at . \ theh f iChair l l In of 1 Algebra 939 , after of the the graduation , was Faculty of Sciences of the , led by Professor Octav \noindent nominatedOnicescu . Assistant at the Chair of Algebra of this faculty and go to Rome In 1 948 is Associated Professor of Algebra and Algebraic Geom- \noindent foretry doctoral at the University studies of under Iassy the and supervision in 1 950 returned of Professor to the Chair Francesco of Algebra Severi of , the the \noindent HeadUniversity of the of famous Bucharest Italian . Algebraic Geometry S chool between the two world wars . \quad Obtained in 1 942 the t it le5 of ’’ Doctor in Mathematics ’’ \quad with a thesis

\noindent with the t it le \quad ’’ Sull gruppo \quad caratteristico \quad di una \quad corrispondenza fra varieta algebriche ’’ .

\ hspace ∗{\ f i l l }From 1 943 continued to work as Assistant at the Chair of Algebra of the

\noindent Faculty of Sciences \quad of the University of Bucharest , \quad led by Professor Octav Onicescu .

In \quad 1 948 \quad i s \quad Associated Professor \quad of Algebra and Algebraic \quad Geometry at the University of Iassy and in 1 950 returned to the Chair of Algebra of the

\noindent University of Bucharest .

\ centerline {5 } A period Constantinescu hyphen Homage to the memory of professor Gheorghe Galbur a-breve \noindenthline A . Constantinescu − Homage to the memory of professor Gheorghe Galbur $ \breve{a} $ Professor in 1 96 1 comma Vice hyphen dean in 1 962 comma Head of the Chairs of Algebra and \ [ Geometry\ r u l e {3em between}{0.4 1 pt 968}\ and] 1 982 period Consulting Professor from 1 982 period A . Constantinescu - Homage to the memory of professor Gheorghe Galbur a˘ Delivered .. lecture .. courses .. in .. Algebra comma .. Geometry comma .. Algebraic .. Geometry comma ProfessorVector bundles in 1 on 96 algebraic 1 , Vice varieties− dean comma in .. 1Commutative 962 , Head Algebra of the and AlgebraicChairs of Algebra and GeometryTopology comma between being 1 a968 pioneer and in 1 t 982 eaching . Commutative Algebra and Algebraic Topology and theProfessor init iator in of 1 the 96 field 1 , Vice of Algebraic - dean Geometry in 1 962 in , Head Romania of the period Chairs of Algebra and \ centerlineWas the supervisorGeometry{ Consulting of many between Professor PhD theses 1 968 in and from Romania 1 1982 982 : . .. among. } these let us remember only those of Alexandru LascuConsulting comma .. Professor Nicolae Radu from comma 1 982 .. . Mircea Becheanu comma DeliveredConstantin\quad NiDelivered cedilla-tl e c t breve-au r e \ lecturequad commac o Lucian u coursesr s e s B\ breve-aquad inin des\ Algebra cuquad commaAlgebra , .. Manuela Geometry , \quad Stoia , commaGeometry Algebraic .. Mihnea , \quad MoroianuAlgebraic \quad Geometry , commaVector .. Vasile bundlesGeometry on algebraic , Vector bundles varieties on ,algebraic\quad Commutative varieties , Algebra Commutative and Algebraic Algebra TopologyBr circumflex-dotlessi ,and being Algebraic a nz pioneer breve-a Topology nescu in commat ,eaching being .. Adrian a Commutative pioneer .. Constantinescu in t eaching Algebra comma Commutative and .. Ioan Algebraic Pop comma Algebra .. Paltin Ionescu commaTopology .. Alexandru andand the Algebraic init iator Topology of the and thefield init of iator Algebraic of the field Geometry of Algebraic in Romania Geometry . in Dimca commaRomania .. Nicolae . Buruian breve-a comma .. Ovidiu P breve-a s breve-a res cu and many others period WasFounder the supervisor of theWas Algebraic the of Geometrysupervisor many PhD research of theses many in Romania in PhD Romania theses comma : in founder\quad Romania ofamong the : these among let these us let rememberAlgebraic Geometry onlyus remember those Seminar of only Alexandruof the those Institute of Lascu ofAlexandru Mathematics , \quad Lascu ofNicolae the , Roma Radu Nicolae hyphen , \ Raduquad ,Mircea Mircea Becheanu , Constantinnian AcademyBecheanu Ni in cooperation $ cedilla , Constantin with−t the\breve Faculty Ni cedilla{a of} Mathematics− ,ta,˘ $Lucian Lucian of the B Univer Ba˘ des $ \ hyphencubreve ,{ Manuelaa} $ des Stoia cu , , \quad Manuela Stoia , \quad Mihnea Moroianu , \quad V a s i l e Brs ity $ of\hat BucharestMihnea{\imath comma Moroianu} $ Head nz of , $ the\breve Vasile S ection{a} of Br Algebraic$ˆı nescunz a˘ Geometrynescu , \quad , of theAdrian Adrian Institute\quad ConstantinescuConstantinescu , \quad Ioan Pop , \quad Paltin Ionescu , \quad Alexandru Dimcaof Mathematics , \quad, between IoanNicolae Pop 1 962 Buruian , and Paltin 1 967 $ period Ionescu\breve{ ,a} Alexandru, $ \quad DimcaOvidiu , P Nicolae $ \breve Buruian{a} $ s $ \breve{a} $ resHas cu .. and scientifica,˘ many papersOvidiu others comma P . a˘ ..s booksa˘ res .. cu andand monographs many others .. in the . fields .. of Algebraic Geometry commaFounder Geometry of andthe Algebra Algebraic period Geometry research in Romania , founder of the FounderVisiting of ProfessorAlgebraic the Algebraic at Rome Geometry open Geometry parenthesis Seminar research 1 966 of comma the in Institute 1 Romania 968 closing of Mathematics, parenthesis founder comma of of the the Taormina Roma open - parenthesis 1Algebraic 968 closing parenthesisnian Geometry Academy comma Seminar in Berlin cooperation of open the parenthesis Institute with the 1 969 Facultyof closing Mathematics parenthesis of Mathematics of comma the of Roma the− Univer - nianPadova Academy opens ity parenthesis in of cooperation Bucharest 1 973 closing , Head with parenthesis of the the Faculty S commaection ofMilano Algebraic Mathematics open parenthesis Geometry of the 1 975of Univer the closing Institute− parenthesis comma Ferraras ity open of parenthesis Bucharestof Mathematics 1 984 , Head closing between of parenthesis the 1 962S ection period and 1 967 of Algebraic . Geometry of the Institute ofThe Mathematics long l ife ofHas Professor between scientific Gheorghe 1 962 papers Galbur and 1 , breve-a 967 books . was connected and monographs with two spe hyphen in the fields of cial overwhelmingAlgebraic s ituations Geometry period , Geometry and Algebra . HasFirstly\quad i s thescientific factVisiting that because Professor papers of the , at\ lastquad Rome worldbooks ( war1 966 he\quad ,was 1 968 oneand of) , monographsthe Taormina few (\ 1quad 968 )in , Berlin the fields ( 1 \quad of Algebraic Geometryrepresentatives ,969 Geometry of ) the, Romanian and Algebra mathematics . j o ining the bright generation of the RomanianPadova mathematicians ( 1 973 ) , Milano l ike .. Professors ( 1 975 ) .. , Grigore Ferrara .. ( C 1 period 984 ) .. . Moisil comma .. Miron \ hspaceNicolescu∗{\ commaf i l lThe} Visiting .. Gheorghe long l ife Professor .. of VrProfessor a-circumflex at Gheorghe Rome nceanu ( comma 1 Galbur 966 .. , Octav 1a˘ 968was Onicescu connected ) , Taormina comma with .. Victor ( two 1 Valcovici 968spe - ) , and Berlin many ( 1 969 ) , others and commacial overwhelming .. on other hand s ituations comma the . wide younger generation of the eminent re hyphen \noindentsearchers likePadova ..Firstly Professors ( 1 i s973 .. the Solomon ) fact , Milano that Marcus because ( comma 1 975 of .. theCabiria ) , last Ferrara Andreian world ( war comma 1 984 he .. was ) Radu . one Miron of the comma few Romulus Cristesrepresentatives cu comma Nicolae of the Dinculeanu Romanian comma mathematics Petru T period j o ining Mocanu the comma bright Marius generation Iosifes cuof comma TheKostake long .. l Telemanthe ife Romanian of and Professor many mathematicians others Gheorghe period Galbur l ike Professors $ \breve{a} $ Grigore was connected C . Moisilwith two spe − cialSecondly overwhelming is, the particular Miron s ituations outstanding Nicolescu s . , ituation Gheorghe represented by Vr theaˆ wellnceanu , Octav Onicescu , known seriesVictor .. of tremendous Valcovici revolutionaryand many transformations others and , .. and on progress other hand .. in , the wide younger Firstlythe area i of sgeneration the the foundations fact of that the comma eminent because concepts re of and - the searchers methods last in like world the fieldProfessors war of Algebraic he was one Solomon of the Marcus few , representativesGeometry :Cabiria .. in his of ..Andreian l the ife .. Romanian Professor , Radu .. mathematicsGalbur Miron a-breve , Romulus comma j o ining .. Cristes matured the cu at bright , the Nicolae .. Italian generation Dinculeanu Algebraic , ofGeometry the Romanian SchoolPetru comma T mathematicians . Mocanu crossed , entire Marius this l ike Iosifesdynamic\quad cu epoch ,P r Kostake commao f e s s o beingr s \quad Teleman highlyGrigore s ensitiveand many\quad othersC. \quad M o i s i l , \quad Miron N6 i c o l e s c u. , \quad Gheorghe \quad Vr $ \hat{a} $ nceanu , \quad Octav Onicescu , \quad Victor Valcovici and many o t h e r s and , Secondly\quad on is other the particular hand , the outstanding wide younger s ituation generation represented of the by eminent the well re − searchersknown like \quad seriesP r o off e s tremendous s o r s \quad revolutionarySolomon Marcus transformations , \quad Cabiria and Andreian progress , \quad Radu Miron , Romulus Cristesin the cuarea , of Nicolae the foundations Dinculeanu , concepts , Petru and T methods . Mocanu in , the Marius field of Iosifes Algebraic cu , Kostake \quadGeometryTeleman : and in his many l ife othersProfessor . Galbur a,˘ matured at the Italian Algebraic Geometry School , crossed entire this dynamic epoch , being highly s Secondly isensitive the particular outstanding s ituation represented by the well known series \quad of tremendous revolutionary6 transformations \quad and progress \quad in the area of the foundations , concepts and methods in the field of Algebraic Geometry : \quad in h i s \quad l i f e \quad P r o f e s s o r \quad Galbur $ \breve{a} , $ \quad matured at the \quad Italian Algebraic Geometry School , crossed entire this dynamic epoch , being highly s ensitive

\ centerline {6 } A period Constantinescu hyphen Homage to the memory of professor Gheorghe Galbur a-breve \noindenthline A . Constantinescu − Homage to the memory of professor Gheorghe Galbur $ \breve{a} $ to the new ideas and works of the great mathematicians Oscar Zariski comma Andre \ [ Weil\ r u commal e {3em Jean}{0.4 hyphen pt }\ Pierre] Serre or Alexander Grothendieck comma who decisively influenced the destiny of this field period A . Constantinescu - Homage to the memory of professor Gheorghe Galbur a˘ Due to this .. experience comma .. Professor .. Galbur breve-a was always .. completely open \noindentand very sensitiveto the to new all kinds ideas of new and ideas works in such of athe dynamic great and mathematicians innova hyphen Oscar Zariski , Andre Weilt ive domain, Jean as− thePierre Algebraic Serre Geometry or Alexander comma remaining Grothendieck a model for , the who younger decisively influenced thegenerations destinyto period ofthe this new ideas field and . works of the great mathematicians Oscar Zariski , Andre In spite of hisWeil age , comma Jean - until Pierre few Serre years agoor Alexander comma .. he Grothendieck st il l attended the, who Seminar decisively of influenced DueAlgebraic to t h i ..sthe Geometry\quad destinyexperience being of this an active field , presence\ .quad P period r o f e s .. s o Also r \quad remainGalbur .. as remarkable $ \breve{a} $ was always \quad completely open andfacts very his recent sensitiveDue supervisions to this to allof someexperience kinds PhDof theses , newProfessor comma ideas .. as in well such Galbur as the a interestdynamica˘ was always to and innova completely− tproduce ive domain someopen papers as and the period very Algebraic sensitive Geometry to all kinds , remaining of new ideas a in model such fora dynamic the younger and innova generationsWas a personality- t . ive with domain a sober as structure the Algebraic but with Geometry much argute , remaining humour period a model for the younger A subtle psychologistgenerations comma . with surprising remarks period .. Always open and modest period period period InProfessor spite of .. Gheorghe hisIn spite age .. ,of Galbur until his age breve-a few , untilwill years fewremain ago years as , .. ago\ anquad unforgettable ,he he st il il .. l attended mentor l attended .. in the Seminarthe Seminar of of Algebraicthe memoryAlgebraic\ andquad heartsGeometry of Geometry his numerous being being anformer active an students active presence presence and assistants .\quad !AlsoAlso remain remain as remarkable\quad as remarkable factsAuthor his : facts recent his supervisions recent supervisions of some of some PhD thesesPhD theses , \quad , asas well well as as the the interest interest to to produceAdrian Constantinescu someproduce papers some . papers . Department ofWas Mathematics a personality with a sober structure but with much argute humour . A WasInstitute a personality ofsubtle Mathematics psychologist with of thea sober Romanian , with structure surprising Academy but remarks with . much Always argute open humour and modest . . . . ACalea subtle Grivi psychologist cedilla-tProfessor ei nr period , Gheorghe with .. 2 1 surprising Bucure Galbur s-cedilla remarksa˘ twill i comma remain . \ Romaniaquad asAlways an unforgettable open and modest men- . . . email : Adriantor period in theConstantinescu memory and at imar hearts period of his ro numerous former students and assistants P r o7 f e s s o r \!quad Gheorghe \quad Galbur $ \breve{a} $ will remain as \quad an unforgettable \quad mentor \quad in the memory and hearts of his numerous former students and assistants ! Author : \ [ Author : \ ] Adrian Constantinescu Department of Mathematics Institute of Mathematics of the \ centerlineCalea{ Adrian Grivi Constantinescucedilla − t ei nr .} 2 1 Bucure s − cedilla t i , Romania email : Adrian . Constantinescu @ imar . ro \noindent Department of Mathematics 7 Institute of Mathematics of the Romanian Academy Calea Grivi $ cedilla −t $ e i nr . \quad 2 1 Bucure $ s−cedilla $ t i , Romania email : Adrian . Constantinescu $ @ $ imar . ro

\ centerline {7 }