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ISBN:9783540438267

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  This book contains a series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influenc   

目录

0 The legacy of Niels Henrik Abel Olav Arnfinn Laudal and Ragni Piene
1 Opening address H. M. King Harald V
2 The life of Niels Henrik Abel Arild Stubhaug
3 The work of Niels Henrik Abel Christian Houzel
4 The legacy of Abel in algebraic geometry Phillip Griffiths
5 Solving quintics by radicals Daniel Lazard
6 From Abel to Kronecker - Episodes from 19th century algebra Birgit Petri and Norbert Schappacher
7 On the history of the Artin Reciprocity Law in Abelian extensions of algebraic number fields: How Artin was led to his Reciprocity Law Gunther Frei
8 The Italian school of algebraic geometry and Abel's legacy Aldo Brigaglia and Ciro Ciliberto and Claudio Pedrini
9 From Abel's heritage: transcendental objects in algebraic geometry and their algebraization Fabrizio Catanese
10 What is Abel's Theorem anyway? Steven L. Kleiman
11 On Abel's hyperelliptic curves Torstein Ekedahl
12 Formal deformation of Chow groups Mark Green and Phillip Griffiths
13 An analogue of Abel's theorem Herbert Clemens
14 Arithmetic questions related to rationally connected varieties Tom Graber and Joe Harris and Barry Mazur and Jason Starr
15 Hyperbolicity in complex geometry Yum-Tong Siu
16 Abel-Radon transform and applications G Henkin
17 Abel transform and integral geometry Simon Gindikin
18 Abel's inverse problem and inverse scattering V P. Palamodov
19 Residues and D-modules Jan-Erik Bjork
20 August Tsikh:Algebraic equations and hypergeometric series Mikael Passare
21 Dirichlet series and functional analysis Hakan Hedenmalm
22 Real multiplication and noncommutative geometry Yuri I. Manin
23 On the quantum cohomology of homogeneous varieties William Fulton
24 Quantum principal bundles up to homotopy equivalence Christian Kassel
25 Non-commutative crepant resolutions Michel Van den Bergh
26 Closed string operators in topology leading to Lie bialgebras and higher string algebra Moira Chas and Dennis Sullivan

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