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

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Yuri Tschinkel, Yuri Zarhin
Springer Science & Business Media, Aug 5, 2010 - Mathematics - 698 pages
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Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository articles and new developments extending from Yuri I. Manin’s outstanding contributions to algebra, algebraic geometry, number theory, algorithmic complexity, noncommutative geometry and mathematical physics.

Among Manin’s numerous achievements are the proof of the functional analogue of the Mordell conjecture, the theory of Gauss--Manin connection, the proof with V. Iskovskikh of the nonrationality of smooth quartic threefolds, the theory of $p$-adic automorphic functions, and the theory of quantum computations.

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. Dabrowski

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

 

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Contents

Gerstenhaber and BatalinVilkovisky Structures on Lagrangian Intersections
1
A NonArchimedean Interpretation of the Weight Zero Subspaces of Limit Mixed Hodge Structures
48
Analytic Curves in Algebraic Varieties over Number Fields
69
RiemannRoch for Real Varieties
125
Universal KZB Equations The Elliptic Case
165
Exact Category of Modules of Constant Jordan Type
267
Del Pezzo Moduli via Root Systems
291
The Weil Proof and the Geometry of the Adeles Class Space
338
padic Entropy and a padic FugledeKadison Determinant
422
Finite Subgroups of the Plane Cremona Group
443
Lie Algebra Theory without Algebra
549
Cycle Classes of the EO Stratification on the Moduliof Abelian Varieties
567
Experiments with General Cubic Surfaces
637
Cluster Ensembles Quantization and the Dilogarithm IIThe Intertwiner
655
Operads Revisited
674
Copyright

Elliptic Curves with Large Analytic Order of E
407

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