Compactifying Moduli Spaces for Abelian Varieties

• Main Author: Olsson, Martin C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1958
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the mo...

Table of Contents:

• A Brief Primer on Algebraic Stacks
• Preliminaries
• Moduli of Broken Toric Varieties
• Moduli of Principally Polarized Abelian Varieties
• Moduli of Abelian Varieties with Higher Degree Polarizations
• Level Structure.