Algebra, Arithmetic, and Geometry: Volume I: 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 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.

Author(s): Kai Behrend, Barbara Fantechi (auth.), Yuri Tschinkel, Yuri Zarhin (eds.)
Series: Progress in Mathematics 269
Edition: 1
Publisher: Birkhäuser Basel
Year: 2009

Language: English
Pages: 698
Tags: Algebra;Mathematical Methods in Physics;Geometry;Algebraic Geometry

Front Matter....Pages i-xxxiv
Gerstenhaber and Batalin–Vilkovisky Structures on Lagrangian Intersections....Pages 1-47
A Non-Archimedean Interpretation of the Weight Zero Subspaces of Limit Mixed Hodge Structures....Pages 49-67
Analytic Curves in Algebraic Varieties over Number Fields....Pages 69-124
Riemann–Roch for Real Varieties....Pages 125-164
Universal KZB Equations: The Elliptic Case....Pages 165-266
Exact Category of Modules of Constant Jordan Type....Pages 267-290
Del Pezzo Moduli via Root Systems....Pages 291-337
The Weil Proof and the Geometry of the Adelès Class Space....Pages 339-405
Elliptic Curves with Large Analytic Order of Ш( E )....Pages 407-421
p -adic Entropy and a p -adic Fuglede–Kadison Determinant....Pages 423-442
Finite Subgroups of the Plane Cremona Group....Pages 443-548
Lie Algebra Theory without Algebra....Pages 549-566
Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties....Pages 567-636
Experiments with General Cubic Surfaces....Pages 637-653
Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner....Pages 655-673
Operads Revisited....Pages 675-698