Compactifying Moduli Spaces for Abelian Varieties is popular PDF and ePub book, written by Martin C. Olsson in 2008-08-25, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Compactifying Moduli Spaces for Abelian Varieties can be Read Online from any device for your convenience.
Compactifying Moduli Spaces for Abelian Varieties Book PDF Summary
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 more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
Detail Book of Compactifying Moduli Spaces for Abelian Varieties PDF
- Author : Martin C. Olsson
- Release : 25 August 2008
- Publisher : Springer Science & Business Media
- ISBN : 9783540705185
- Genre : Mathematics
- Total Page : 286 pages
- Language : English
- PDF File Size : 12,7 Mb
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