Moduli of Abelian Varieties

By: Gerard van der Geer (Editor), C. Faber (Editor), Frans Oort (Editor)

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Hardcover | 1 March 2001

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Hardcover
540 Pages

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23.39 x 15.6 x 3.02

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Abelian varieties and their moduli are a central topic of increasing importance in today s mathematics. Applications range from algebraic geometry and number theory to mathematical physics.
The present collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.
The book will appeal to pure mathematicians, especially algebraic geometers and number theorists, but will also be relevant for researchers in mathematical physics.

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Participants
Contributors
Introduction
On extra components in the functorial compactification of A[subscript g]	p. 1
On Mumford's uniformization and Neron models of Jacobians of semistable curves over complete rings	p. 11
Torelli Theorem via Fourier-Mukai transform	p. 127
On the Andre-Oort conjecture for Hilbert modular surfaces	p. 133
Toroidal resolutions for some matrix singularities	p. 157
Formal Brauer groups and moduli of abelian surfaces	p. 185
Isogeny classes of abelian varieties with no principal polarizations	p. 203
Igusa's modular form and the classification of Siegel modular threefolds	p. 217
Mirror symmetry and quantization of abelian varieties	p. 231
Group schemes with additional structures and Weyl group cosets	p. 255
Moduli space of elliptic curves with Heisenberg level structure	p. 299
Singularities of the height strata in the moduli of K3 surfaces	p. 325
A stratification of a moduli space of abelian varieties	p. 345
Newton polygon strata in the moduli space of abelian varieties	p. 417
The dimension of Oort strata of Shimura varieties of PEL-type	p. 441
Hyperelliptic Jacobians and modular representations	p. 473
Windows for displays of p-divisible groups	p. 491
Table of Contents provided by Blackwell. All Rights Reserved.

Moduli of Abelian Varieties

At a Glance

Hardcover

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