The Legacy of Niels Henrik Abel
The Abel Bicentennial, Oslo 2002
Bearbeitet von Olav A Laudal, Ragni Piene
1. Auflage 2004. Buch. X, 784 S. ISBN 978 3 540 43826 7 Format (B x L): 15,5 x 23,5 cm
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The Legacy of Niels Henrik Abel ...... 1 King Harald V Opening address The Abel Bicentennial Conference University of Oslo, June 3, 2002 ..... 5 Arild Stubhaug The Life of Niels Henrik Abel ...... 7 Christian Houzel The Work of Niels Henrik Abel ...... 21 Phillip Griffiths The Legacy of Abel in Algebraic Geometry ...... 179 Daniel Lazard Solving Quintics by Radicals ...... 207 Birgit Petri and Norbert Schappacher From Abel to Kronecker: Episodes from 19th Century Algebra ...... 227 Gunther¬ Frei On the History of the Artin Reciprocity Law in Abelian Extensions of Algebraic Number Fields: How Artin was Led to his Reciprocity Law . 267 Aldo Brigaglia, Ciro Ciliberto, Claudio Pedrini The Italian School of Algebraic Geometry and Abel’s Legacy ...... 295 Fabrizio Catanese From Abel’s Heritage: Transcendental Objects in Algebraic Geometry and Their Algebraization ...... 349 Steven L. Kleiman What is Abel’s Theorem Anyway? ...... 395 Torsten Ekedahl On Abel’s Hyperelliptic Curves ...... 441 VI Contents
Mark Green, Phillip Griffiths Formal Deformation of Chow Groups ...... 467 Herbert Clemens An Analogue of Abel’s Theorem ...... 511 Tom Graber, Joe Harris, Barry Mazur, Jason Starr Arithmetic Questions Related to Rationally Connected Varieties ...... 531 Yum-Tong Siu Hyperbolicity in Complex Geometry ...... 543 G. M. Henkin Abel–Radon Transform and Applications ...... 567 Simon Gindikin Abel Transform and Integral Geometry ...... 585 V. P. Palamodov Abel’s Inverse Problem and Inverse Scattering ...... 597 Jan-Erik Bjork¬ Residues and D-modules ...... 605 Mikael Passare, August Tsikh Algebraic Equations and Hypergeometric Series ...... 653 Hakanû Hedenmalm Dirichlet Series and Functional Analysis ...... 673 Yuri I. Manin Real Multiplication and Noncommutative Geometry ...... 685 William Fulton On the Quantum Cohomology of Homogeneous Varieties ...... 729 Christian Kassel Quantum Principal Bundles up to Homotopy Equivalence ...... 737 Michel van den Bergh Non-commutative Crepant Resolutions ...... 749 Moira Chas, Dennis Sullivan Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra ...... 771