| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR FCT 81149 (Browse shelf) | 1 | Available |
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| QA564.SPR FCT 80796 Emerging applications of algebraic geometry | QA564.SPR FCT 81016 Cohomological and geometric approaches to rationality problems | QA564.SPR FCT 81053 Configurations from a graphical viewpoint | QA564.SPR FCT 81149 Deformation theory | QA564.SPR FCT 81278 Algebraic geometry and commutative algebra | QA564.SPR FCT 81301 Future vision and trends on shapes, geometry and algebra | QA564.SPR FCT 81439 Birational geometry, rational curves, and arithmetic |
Colocação: Online
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. Topics include: * deformations over the dual numbers; * smoothness and the infinitesimal lifting property; * Zariski tangent space and obstructions to deformation problems; * pro-representable functors of Schlessinger; * infinitesimal study of moduli spaces such as the Hilbert scheme, Picard scheme, moduli of curves, and moduli of stable vector bundles. 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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