Ebook: Moduli of Abelian Varieties

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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Content:
Front Matter....Pages i-xii
On Extra Components in the Functorial Compactification of A g ....Pages 1-9
On Mumford’s Uniformization and Neron Models of Jacobians of Semistable Curves over Complete Rings....Pages 11-126
Torelli Theorem Via Fourier-Mukai Transform....Pages 127-132
On the Andr?-Oort Conjecture for Hilbert Modular Surfaces....Pages 133-155
Toroidal Resolutions for Some Matrix Singularities....Pages 157-184
Formal Brauer Groups and Moduli of Abelian Surfaces....Pages 185-202
Isogeny Classes of Abelian Varieties with no Principal Polarizations....Pages 203-216
Igusa’s Modular form and the Classification of Siegel Modular Threefolds....Pages 217-229
Mirror Symmetry and Quantization of Abelian Varieties....Pages 231-254
Group Schemes with Additional Structures and Weyl Group Cosets....Pages 255-298
Moduli Space of Elliptic Curves with Heisenberg Level Structure....Pages 299-324
Singularities of the Height Strata in the Moduli of K3 Surfaces....Pages 325-343
A Stratification of a Moduli Space of Abelian Varieties....Pages 345-416
Newton Polygon Strata in the Moduli Space of Abelian Varieties....Pages 417-440
The Dimension of Oort Strata of Shimura Varieties of Pel-Type....Pages 441-471
Hyperelliptic Jacobians and Modular Representations....Pages 473-490
Windows for Displays of p-Divisible Groups....Pages 491-518

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Content:
Front Matter....Pages i-xii
On Extra Components in the Functorial Compactification of A g ....Pages 1-9
On Mumford’s Uniformization and Neron Models of Jacobians of Semistable Curves over Complete Rings....Pages 11-126
Torelli Theorem Via Fourier-Mukai Transform....Pages 127-132
On the Andr?-Oort Conjecture for Hilbert Modular Surfaces....Pages 133-155
Toroidal Resolutions for Some Matrix Singularities....Pages 157-184
Formal Brauer Groups and Moduli of Abelian Surfaces....Pages 185-202
Isogeny Classes of Abelian Varieties with no Principal Polarizations....Pages 203-216
Igusa’s Modular form and the Classification of Siegel Modular Threefolds....Pages 217-229
Mirror Symmetry and Quantization of Abelian Varieties....Pages 231-254
Group Schemes with Additional Structures and Weyl Group Cosets....Pages 255-298
Moduli Space of Elliptic Curves with Heisenberg Level Structure....Pages 299-324
Singularities of the Height Strata in the Moduli of K3 Surfaces....Pages 325-343
A Stratification of a Moduli Space of Abelian Varieties....Pages 345-416
Newton Polygon Strata in the Moduli Space of Abelian Varieties....Pages 417-440
The Dimension of Oort Strata of Shimura Varieties of Pel-Type....Pages 441-471
Hyperelliptic Jacobians and Modular Representations....Pages 473-490
Windows for Displays of p-Divisible Groups....Pages 491-518
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