中文名: 形变理论
原名: Deformation Theory
作者: Robin Hartshorne
图书分类: 教育/科技
资源格式: PDF
版本: 英文版
出版社: Springer
书号: 1441915958
发行时间: 2010年
地区: 美国
语言: 英文
简介:
Deformation Theory
Robin Hartshorne
Product Description
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck.
Topics include: deformations over the dual numbers, smoothness and the infinitesimal lifting property, Zariski tangent space and obstructions to deformation problems, pro-representable functors of Schlessinger, infinitesimal study of moduli spaces such as the Hilbert scheme, Picard scheme, moduli of curves, and moduli of stable vector bundles.
The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
# Hardcover: 236 pages
# Publisher: Springer; 1 edition (December 10, 2009)
# Language: English
# ISBN-10: 1441915958
# ISBN-13: 978-1441915955
# Product Dimensions: 9.3 x 6.1 x 0.9 inches
文字版