Deformation Theory (Graduate Texts in Mathematics)
| Author | : | |
| Rating | : | 4.74 (712 Votes) |
| Asin | : | 1441915958 |
| Format Type | : | paperback |
| Number of Pages | : | 234 Pages |
| Publish Date | : | 2014-09-25 |
| Language | : | English |
DESCRIPTION:
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.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.. 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
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The mathematical community has to thank him for updating and expanding them into this book … . 96 (537), November, 2012)“In the development of algebraic deformation theory, a graduate text explaining the fundamentals of the theory had been lacking. … Since deformation theory could be considered a central topic in algebraic geometry … textbook where some of the main results and methods are collected in one place is certainly welcome. … a fundamental text for anybody who wants to learn deformation t