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Algebra, Arithmetic, and Geometry [electronic resource] :Volume II: In Honor of Yu. I. Manin / edited by Yuri Tschinkel, Yuri Zarhin.

by Tschinkel, Yuri [editor.]; Zarhin, Yuri [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Progress in Mathematics: 270Publisher: Boston : Birkhäuser Boston, 2009.Description: XII, 704p. 15 illus. online resource.ISBN: 9780817647476.Subject(s): Mathematics | Algebra | Geometry, algebraic | Geometry | Mathematics | Algebra | Geometry | Algebraic GeometryDDC classification: 512 Online resources: Click here to access online
Contents:
Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications -- Cyclic Homology with Coefficients -- Noncommutative Geometry and Path Integrals -- Another Look at the Dwork Family -- Graphs, Strings, and Actions -- Quotients of Calabi–Yau Varieties -- Notes on Motives in Finite Characteristic -- PROPped-Up Graph Cohomology -- Symboles de Manin et valeurs de fonctions L -- Graph Complexes with Loops and Wheels -- Yang–Mills Theory and a Superquadric -- A Generalization of the Capelli Identity -- Hidden Symmetries in the Theory of Complex Multiplication -- Self-Correspondences of K3 Surfaces via Moduli of Sheaves -- Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves -- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities -- Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators -- Rank-2 Vector Bundles on ind-Grassmannians -- Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations -- On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums -- Une Algèbre Quadratique Liée à la Suite de Sturm -- Fields of u-Invariant 2r + 1 -- Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians -- De Jong-Oort Purity for p-Divisible Groups.
In: Springer eBooksSummary: 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.
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Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications -- Cyclic Homology with Coefficients -- Noncommutative Geometry and Path Integrals -- Another Look at the Dwork Family -- Graphs, Strings, and Actions -- Quotients of Calabi–Yau Varieties -- Notes on Motives in Finite Characteristic -- PROPped-Up Graph Cohomology -- Symboles de Manin et valeurs de fonctions L -- Graph Complexes with Loops and Wheels -- Yang–Mills Theory and a Superquadric -- A Generalization of the Capelli Identity -- Hidden Symmetries in the Theory of Complex Multiplication -- Self-Correspondences of K3 Surfaces via Moduli of Sheaves -- Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves -- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities -- Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators -- Rank-2 Vector Bundles on ind-Grassmannians -- Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations -- On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums -- Une Algèbre Quadratique Liée à la Suite de Sturm -- Fields of u-Invariant 2r + 1 -- Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians -- De Jong-Oort Purity for p-Divisible Groups.

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.

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