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Algebra, Arithmetic, and Geometry: Volume II: In Honor of Yu. I. Manin

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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 second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink.

Author(s): Michael Harris (auth.), Yuri Tschinkel, Yuri Zarhin (eds.)
Series: Progress in Mathematics 270
Edition: 1
Publisher: Birkhäuser Basel
Year: 2009

Language: English
Pages: 704
Tags: Algebra; Geometry; Algebraic Geometry

Front Matter....Pages I-XII
Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications....Pages 1-21
Cyclic Homology with Coefficients....Pages 23-47
Noncommutative Geometry and Path Integrals....Pages 49-87
Another Look at the Dwork Family....Pages 89-126
Graphs, Strings, and Actions....Pages 127-178
Quotients of Calabi–Yau Varieties....Pages 179-211
Notes on Motives in Finite Characteristic....Pages 213-247
PROPped-Up Graph Cohomology....Pages 249-281
Symboles de Manin et valeurs de fonctions L ....Pages 283-309
Graph Complexes with Loops and Wheels....Pages 311-354
Yang–Mills Theory and a Superquadric....Pages 355-382
A Generalization of the Capelli Identity....Pages 383-398
Hidden Symmetries in the Theory of Complex Multiplication....Pages 399-437
Self-Correspondences of K3 Surfaces via Moduli of Sheaves....Pages 439-464
Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves....Pages 465-501
Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities....Pages 503-531
Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators....Pages 533-554
Rank-2 Vector Bundles on ind-Grassmannians....Pages 555-572
Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations....Pages 573-617
On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums....Pages 619-635
Une Algèbre Quadratique Liée à la Suite de Sturm....Pages 637-659
Fields of u -Invariant 2 r + 1....Pages 661-685
Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians....Pages 687-691
De Jong-Oort Purity for p -Divisible Groups....Pages 693-701