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 small i...
Shranjeno v:
| Glavni avtor: | |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdaja: | Author-formatted text files--FSV to typeset ONLY pages i-iv. |
| Serija: | Graduate Texts in Mathematics
257 |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Deformation theory, Robin Hartshorne, 2009, New York [etc.], Springer, 1 vol. (VI-234 p.), Graduate texts in mathematics, 978-1-441-91595-5 • Deformation Theory, Texte imprimé, 9781441916136 • Deformation theory, Robin Hartshorne, 2009, New York [etc.], Springer, 1 vol. (VI-234 p.), Graduate texts in mathematics, 978-1-441-91595-5 • Deformation theory, Robin Hartshorne, 2009, New York [etc.], Springer, 1 vol. (VI-234 p.), Graduate texts in mathematics, 978-1-441-91595-5 |
| Izvleček: | 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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| Opis knjige/članka: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografija: | Bibliogr. |
| ISBN: | 9781441915962 |
| ISSN: | 2197-5612 |
| Dostop: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |