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Compactifying Moduli Spaces for Abelian Varieties 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Olsson, Martin C. 作者

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出版日期

278 页数

$ 79.04 价格

Lecture Notes in Mathematics 丛书系列

9783540705185 图书编码

Compactifying Moduli Spaces for Abelian Varieties 在线电子书图书标签: 数学

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发表于2024-11-25

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Compactifying Moduli Spaces for Abelian Varieties 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Compactifying Moduli Spaces for Abelian Varieties 在线电子书图书描述

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.

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