Compactifying Moduli Spaces for Abelian Varieties 2024 pdf epub mobi 电子书

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发表于2024-12-30

Compactifying Moduli Spaces for Abelian Varieties 2024 pdf epub mobi 电子书

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出版者:

作者:Olsson, Martin C.

出品人:

页数:278

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出版时间:

价格:$ 79.04

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isbn号码:9783540705185

丛书系列:Lecture Notes in Mathematics

图书标签: 数学

Compactifying Moduli Spaces for Abelian Varieties 2024 pdf epub mobi 电子书图书描述

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.

Compactifying Moduli Spaces for Abelian Varieties 2024 pdf epub mobi 电子书

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