Moduli of Abelian Varieties

by Faber, Carel; Van Der Geer, Gerard; Oort, Frans

• ISBN13: 9783764365172
• ISBN10: 376436517X
• Format: Hardcover
• Copyright: 2001-04-01
• Publisher: Birkhauser

Summary

A collection of articles presented at the conference on Moduli of Abelian Varieties, Texel'99, which was held on Texel Island during the last week of April, 1999. Discusses and studies the structure of the moduli spaces of abelian varieties and related spaces, for pure mathematicians and algebraic geometers and number theorists.

Table of Contents

Participants	vii
Contributors	ix
Introduction	xi
On extra components in the functional compactification of Ag	1	(10)
V. Alexeev
On Mumford's uniformization and Neron models of Jacobians of semistable curves over complete rings	11	(116)
F. Andreatta
Torelli theorem via Fourier-Mukai transform	127	(6)
A. Beilinson
A. Polishchuk
On the Andre-Oort conjecture for Hilbert modular surfaces	133	(24)
B. Edixhoven
Toroidal resolutions for some matrix singularities	157	(28)
G. Faltings
Formal Brauer groups and moduli of abelian surfaces	185	(18)
G. van der Geer
T. Katsura
Isogeny classes of abelian varieties with no principal polarizations	203	(14)
E. Howe
Igusa's modular form and the classification of Siegel modular threefolds	217	(14)
K. Hulek
Mirror symmetry and quantization of abelian varieties	231	(24)
Yu. I. Manin
Group schemes with additional structures and Weyl group cosets	255	(44)
B. Moonen
Moduli space of elliptic curves with Heisenberg level structure	299	(26)
I. Nakamura
T. Terasoma
Singularities of the height strata in the moduli of K3 surfaces	325	(20)
A. Ogus
A stratification of a moduli space of abelian varieties	345	(72)
F. Oort
Newton polygon strata in the moduli space of abelian varieties	417	(24)
F. Oort
The dimension of Oort strata of Shimura varieties of PEL-type	441	(32)
T. Wedhorn
Hyperelliptic Jacobians and modular representations	473	(18)
Yu. G. Zarhin
Windows for displays of p-divisible groups	491
Th. Zink