书目名称 | Deformation Theory | 编辑 | Robin Hartshorne | 视频video | | 概述 | First ever textbook on deformation theory.Bestselling Springer author, Robin Hartshorne.Text contains plenty of motivation, enhanced with numerous exercises and examples.Includes supplementary materia | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was to understand completely Grothendieck’s local study of the Hilbert scheme using the cohomology of the normal bundle to characterize the Zariski tangent space and the obstructions to deformations. At the same timeIstartedwritinglecturenotesforthecourse.However,thewritingproject soon foundered as the subject became more intricate, and the result was no more than ?ve of a projected thirteen sections, corresponding roughly to s- tions 1, 2, 3, 5, 6 of the present book. These handwritten notes circulated quietly for many years until David Eisenbud urged me to complete them and at the same time (without consu- ing me) mentioned to an editor at Springer, “You know Robin has these notes on deformation theory, which could easily become a book.” When asked by Springer if I would write such a book, I immediately refused, since I was then planning another book on space curves. But on second thought, I decided this was,afterall,aworthyproject,andthatbywritingImight?nallyunderstand the subject myself. So during 2004 I expanded the old notes into a rough draft, which I used to teach a course during the spr | 出版日期 | Textbook 2010 | 关键词 | Hilbert scheme; deformation theory; first-order deformations; formal moduli; higher-order deformations; i | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4419-1596-2 | isbn_softcover | 978-1-4614-2520-5 | isbn_ebook | 978-1-4419-1596-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer-Verlag New York 2010 |
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