Robin Hartshorne Deformation Theory 9781461425205

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Автор: Robin Hartshorne
Название: Deformation Theory
ISBN: 9781461425205
Издательство: Springer
Классификация:

Геометрия

ISBN-10: 1461425204
Обложка/Формат: Paperback
Страницы: 234
Вес: 0.34 кг.
Дата издания: 07.03.2012
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 13
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was to understand completely Grothendiecks 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 spring semester of 2005. Those notes, rewritten once more, with the addition of exercises, form the book you are now reading. Mygoalinthisbookistointroducethemainideasofdeformationtheoryin algebraicgeometryandtoillustratetheiruseinanumberoftypicalsituations.

Deformation Theory, Robin Hartshorne