Period Mappings and Period Domains 2025 pdf epub mobi 电子书


Period Mappings and Period Domains

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发表于2025-01-10

Period Mappings and Period Domains 2025 pdf epub mobi 电子书

Period Mappings and Period Domains 2025 pdf epub mobi 电子书

Period Mappings and Period Domains 2025 pdf epub mobi 电子书



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出版者:Cambridge University Press
作者:James Carlson
出品人:
页数:448
译者:
出版时间:2003-11-6
价格:GBP 103.00
装帧:Hardcover
isbn号码:9780521814669
丛书系列:Cambridge Studies in Advanced Mathematics

图书标签: 数学   


Period Mappings and Period Domains 2025 pdf epub mobi 电子书 图书描述

The period matrix of a curve effectively describes how the complex structure varies; this is Torelli's theorem dating from the beginning of the nineteenth century. In the 1950s during the first revolution of algebraic geometry, attention shifted to higher dimensions and one of the guiding conjectures, the Hodge conjecture, got formulated. In the late 1960s and 1970s Griffiths, in an attempt to solve this conjecture, generalized the classical period matrices introducing period domains and period maps for higher-dimensional manifolds. He then found some unexpected new phenomena for cycles on higher-dimensional algebraic varieties, which were later made much more precise by Clemens, Voisin, Green and others. This 2003 book presents this development starting at the beginning: the elliptic curve. This and subsequent examples (curves of higher genus, double planes) are used to motivate the concepts that play a role in the rest of the book.

Period Mappings and Period Domains 2025 pdf epub mobi 电子书

Period Mappings and Period Domains 2025 pdf epub mobi 电子书
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