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Birkhäuser

Algebra, Arithmetic, and Geometry

Volume II: In Honor of Yu. I. Manin

  • Book
  • © 2009

Overview

Editors:
  1. Yuri Tschinkel

    1. Courant Inst. Mathematical, New York University, New York, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Yuri Zarhin

    1. Eberly College of Science, Pennsylvania State University, University Park, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Contributed articles are written by distinguished and invited prominent researchers in the field
  • Broad collection of topics reveals Y.I. Manin's wide range of research and influence
  • The subjects covered range from mathematical logic to theoretical physics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 270)

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Table of contents (24 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications

    • Michael Harris
    Pages 1-21

  3. Cyclic Homology with Coefficients

    • D. Kaledin
    Pages 23-47

  4. Noncommutative Geometry and Path Integrals

    • Mikhail Kapranov
    Pages 49-87

  5. Another Look at the Dwork Family

    • Nicholas M. Katz
    Pages 89-126

  6. Graphs, Strings, and Actions

    • Ralph M. Kaufmann
    Pages 127-178

  7. Quotients of Calabi–Yau Varieties

    • János Kollár, Michael Larsen
    Pages 179-211

  8. Notes on Motives in Finite Characteristic

    • Maxim Kontsevich
    Pages 213-247

  9. PROPped-Up Graph Cohomology

    • M. Markl, A. A. Voronov
    Pages 249-281

  10. Symboles de Manin et valeurs de fonctions L

    • Loïc Merel
    Pages 283-309

  11. Graph Complexes with Loops and Wheels

    • S. A. Merkulov
    Pages 311-354

  12. Yang–Mills Theory and a Superquadric

    • Mikhail V. Movshev
    Pages 355-382

  13. A Generalization of the Capelli Identity

    • E. Mukhin, V. Tarasov, A. Varchenko
    Pages 383-398

  14. Hidden Symmetries in the Theory of Complex Multiplication

    • Jan Nekovář
    Pages 399-437

  15. Self-Correspondences of K3 Surfaces via Moduli of Sheaves

    • Viacheslav V. Nikulin
    Pages 439-464

  16. Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves

    • Frans Oort
    Pages 465-501

  17. Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities

    • Dmitri Orlov
    Pages 503-531

  18. Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators

    • Alexei Panchishkin, Kirill Vankov
    Pages 533-554

  19. Rank-2 Vector Bundles on ind-Grassmannians

    • Ivan Penkov, Alexander S. Tikhomirov
    Pages 555-572

  20. Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations

    • A. Polishchuk
    Pages 573-617
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Keywords

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.

Editors and Affiliations

  • Courant Inst. Mathematical, New York University, New York, USA

    Yuri Tschinkel

  • Eberly College of Science, Pennsylvania State University, University Park, USA

    Yuri Zarhin

Bibliographic Information

  • Book Title: Algebra, Arithmetic, and Geometry

  • Book Subtitle: Volume II: In Honor of Yu. I. Manin

  • Editors: Yuri Tschinkel, Yuri Zarhin

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-0-8176-4747-6

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Boston 2009

  • Hardcover ISBN: 978-0-8176-4746-9Published: 15 April 2010

  • eBook ISBN: 978-0-8176-4747-6Published: 11 April 2010

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XII, 704

  • Number of Illustrations: 15 b/w illustrations

  • Topics: Algebra, Geometry, Algebraic Geometry

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