Deformation theory /
"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 s...
Guardado en:
| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Springer,
c2010.
|
| Series: | Graduate texts in mathematics ;
257. |
| Materias: | |
| Acceso en línea: | Table of contents, preface, capítulo de muestra |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| LEADER | 02233cam a22003015a 4500 | ||
|---|---|---|---|
| 001 | MAT.inmabb006488 | ||
| 008 | 091015s2010####nyu######b####001#0#eng## | ||
| 005 | 20130304114053.0 | ||
| 245 | 1 | 0 | |a Deformation theory / |c Robin Hartshorne. |
| 260 | |a New York : |b Springer, |c c2010. | ||
| 300 | |a vi, 234 p. ; |c 25 cm. | ||
| 490 | 1 | |a Graduate texts in mathematics, |x 0072-5285 ; |v 257 | |
| 520 | |a "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."--Publisher's website. | ||
| 504 | |a Incluye referencias bibliográficas (p. [217]-224) e índice. | ||
| 510 | 4 | |a MR, |c 2011c:14023 | |
| 020 | |a 9781441915955 (hbk.) | ||
| 020 | |a 1441915958 (hbk.) | ||
| 020 | |a 1441915966 (ebk.) | ||
| 020 | |a 9781441915962 (ebk.) | ||
| 100 | 1 | |a Hartshorne, Robin. | |
| 830 | 0 | |a Graduate texts in mathematics ; |v 257. | |
| 650 | 0 | |a Deformations of singularities. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 084 | |a 14D15 (13D10 14B07 14B12) |2 msc2000 | ||
| 010 | |a 2009939327 | ||
| 040 | |a UKM |c UKM |d CDN |d OHX |d YDXCP |d GZM |d BWX |d IXA |d HEBIS |d MUU |d DLC | ||
| 856 | |u http://www.springer.com/mathematics/algebra/book/978-1-4419-1595-5 |y Table of contents, preface, capítulo de muestra | ||
| 859 | |h 14 |i H335d |p A-8693 |b BIB. MATEMATICA | ||