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.
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.
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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.
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.
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Graduate Texts in Mathematics, 257 |
Release date | December 2009 |
Availability | Expected to ship within 12 - 17 working days |
First published | 2010 |
Authors | Robin Hartshorne |
Dimensions | 235 x 155 x 23mm (L x W x T) |
Format | Hardcover |
Pages | 234 |
Edition | 2010 ed. |
ISBN-13 | 978-1-4419-1595-5 |
Barcode | 9781441915955 |
Categories | |
LSN | 1-4419-1595-8 |