Algebra, Arithmetic, and Geometry

Volume I: In Honor of Yu. I. Manin

  • Yuri Tschinkel
  • Yuri Zarhin

Part of the Progress in Mathematics book series (PM, volume 269)

Table of contents

  1. Front Matter
    Pages i-xxxiv
  2. Jean-Benoît Bost, Antoine Chambert-Loir
    Pages 69-124
  3. Paul Bressler, Mikhail Kapranov, Boris Tsygan, Eric Vasserot
    Pages 125-164
  4. Damien Calaque, Benjamin Enriquez, Pavel Etingof
    Pages 165-266
  5. Jon F. Carlson, Eric M. Friedlander
    Pages 267-290
  6. Elisabetta Colombo, Bert van Geemen, Eduard Looijenga
    Pages 291-337
  7. Alain Connes, Caterina Consani, Matilde Marcolli
    Pages 339-405
  8. Andrzej Dąbrowski, Mariusz Wodzicki
    Pages 407-421
  9. Igor V. Dolgachev, Vasily A. Iskovskikh
    Pages 443-548
  10. Simon K. Donaldson
    Pages 549-566
  11. Torsten Ekedahl, Gerard van der Geer
    Pages 567-636
  12. Andreas-Stephan Elsenhans, Jörg Jahnel
    Pages 637-653
  13. Ezra Getzler
    Pages 675-698

About this book


Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

Contributors in the first volume include:

K. Behrend, V.G. Berkovich, J.-B. Bost, P. Bressler, D. Calaque, J.F. Carlson, A. Chambert-Loir, E. Colombo, A. Connes, C. Consani, A. Da˛browski, C. Deninger, I.V. Dolgachev, S.K. Donaldson, T. Ekedahl, A.-S. Elsenhans, B. Enriquez, P. Etingof, B. Fantechi, V.V. Fock, E.M. Friedlander, B. van Geemen, G. van der Geer, E. Getzler, A.B. Goncharov, V.A. Iskovskikh, J. Jahnel, M. Kapranov, E. Looijenga, M. Marcolli, B. Tsygan, E. Vasserot, M. Wodzicki.


Gauss-Manin connection Mordell conjecture Number theory Potential algebra algorithmic complexity automorphic functions instantons mathematical physics noncommutative geometry nonrationality of smooth quartic threefolds

Editors and affiliations

  • Yuri Tschinkel
    • 1
  • Yuri Zarhin
    • 2
  1. 1.Department of Mathematics, Courant Institute of Math. SciencesNew York UniversityNew YorkUSA
  2. 2.Eberly College of Science, Dept. MathematicsPennsylvania State UniversityUniversity ParkUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science +Business Media, LLC 2009
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4744-5
  • Online ISBN 978-0-8176-4745-2
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site