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Deformation Theory

Deformation Theory

Hardcover

Series: Graduate Texts in Mathematics, Book 257

Geometry

ISBN10: 1441915958
ISBN13: 9781441915955
Publisher: Springer
Published: Dec 10 2009
Pages: 234
Weight: 1.14
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English

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 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.

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Geometry