Deformation theory / Robin Hartshorne
Type de document : MonographieCollection : Graduate texts in mathematics, 257Langue : anglais.Pays: Etats Unis.Éditeur : 2009Description : 1 vol. (VI-234 p.)ISBN: 9781441915955; 1441915958; 9781461425205.Note de contenu: Contient des exercices Bibliographie : Bibliogr. p. 217-224. Index.Sujet MSC : 14B07, Local theory in algebraic geometry, Deformations of singularities14B12, Local theory in algebraic geometry, Local deformation theory, Artin approximation, etc.
14B10, Local theory in algebraic geometry, Infinitesimal methods in algebraic geometry
14B20, Local theory in algebraic geometry, Formal neighborhoods in algebraic geometry
14D15, Families, fibrations in algebraic geometry, Formal methods and deformations in algebraic geometry
14D20, Families, fibrations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles
14H60, Curves in algebraic geometry, Vector bundles on curves and their moduli
13D10, Homological methods in commutative ring theory, Deformations and infinitesimal methods in commutative ring theory
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 14 HAR (Browse shelf(Opens below)) | Available | 12688-01 |
Bibliogr. p. 217-224. Index
Contient des exercices
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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