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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Tschinkel, Yuri (Editor), Zarhin, Yuri (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2009.
• Series: Progress in Mathematics ; 270
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Geometry.; Algebraic Geometry.

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. Koll...

Table of 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.