Period Mappings and Period Domains 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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James Carlson 作者

Cambridge University Press

译者

2003-11-6 出版日期

448 页数

GBP 103.00 价格

Hardcover

Cambridge Studies in Advanced Mathematics 丛书系列

9780521814669 图书编码

Period Mappings and Period Domains 在线电子书图书标签: 数学

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Period Mappings and Period Domains 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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