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Titlebook: Deformation Theory; Robin Hartshorne Textbook 2010 Springer-Verlag New York 2010 Hilbert scheme.deformation theory.first-order deformation

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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Titlebook: Deformation Theory;  Robin Hartshorne Textbook 2010 Springer-Verlag New York 2010 Hilbert scheme.deformation theory.first-order deformation
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
doihttps://doi.org/10.1007/978-1-4419-1596-2
isbn_softcover978-1-4614-2520-5
isbn_ebook978-1-4419-1596-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York 2010
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Formal Moduli, The ideal or gold standard for a moduli space is the model represented by the Hilbert scheme (1.1): there is a scheme whose points parametrize the objects in question, there is a universal family over this scheme, and any other family is obtained by a unique base extension from the universal family
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A. S. Markov,V. A. Romanov,N. B. Shaykhon The ideal or gold standard for a moduli space is the model represented by the Hilbert scheme (1.1): there is a scheme whose points parametrize the objects in question, there is a universal family over this scheme, and any other family is obtained by a unique base extension from the universal family
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