Deformations of Algebraic Schemes - Couverture rigide

Livre 55 sur 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Sernesi, Edoardo

9783540306085: Deformations of Algebraic Schemes

Couverture rigide

ISBN 10 : 3540306080 ISBN 13 : 9783540306085

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2006

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In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be "deformed" by suitably varying the coef?cients of their de?ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what "deforming" means leads into the technically most dif?cult parts of our discipline. It is fair to say that such technical obstacles have had a vast impact on the crisis of the classical language and on the development of the modern one, based on the theory of schemes and on cohomological methods. The modern point of view originates from the seminal work of Kodaira and Spencer on small deformations of complex analytic manifolds and from its for- lization and translation into the language of schemes given by Grothendieck. I will not recount the history of the subject here since good surveys already exist (e. g. [27], [138], [145], [168]). Today, while this area is rapidly developing, a self-contained text covering the basic results of what we can call "classical deformation theory" seems to be missing. Moreover, a number of technicalities and "well-known" facts are scattered in a vast literature as folklore, sometimes with proofs available only in the complex analytic category. This book is an attempt to ?ll such a gap, at least p- tially.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l'auteur

Edoardo Sernesi - vita

Present position:
Professore ordinario di Geometria, Facolt� di Scienze MFN, Universit� Roma Tre

Education:
- Laurea in Matematica- Universit� di Roma, 1969
- Ph.D. in Mathematics - Brandeis University, 1976

Professional experience:
- Assistente ordinario di Geometria, Universit� di Ferrara, 1974-1980.
- Professore straordinario di Geometria Universit� di Roma ``La Sapienza", 1980-1983.
- Professore ordinario di Geometria Universit� di Roma ``La Sapienza", 1983-1992.
- Professore ordinario di Geometria Universit� Roma Tre, from 1992.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'�dition: 2006
Langue: anglais
ISBN 10: 3540306080
ISBN 13: 9783540306085
Reliure: Reli�
Nombre de pages: 353
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Sernesi, Edoardo

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Deformations of Algebraic Schemes

Edoardo Sernesi

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be 'deformed' by suitably varying the coef cients of their de ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what 'deforming' means leads into the technically most dif cult parts of our discipline. It is fair to say that such technical obstacles have had a vast impact on the crisis of the classical language and on the development of the modern one, based on the theory of schemes and on cohomological methods. The modern point of view originates from the seminal work of Kodaira and Spencer on small deformations of complex analytic manifolds and from its for- lization and translation into the language of schemes given by Grothendieck. I will not recount the history of the subject here since good surveys already exist (e. g. [27], [138], [145], [168]). Today, while this area is rapidly developing, a self-contained text covering the basic results of what we can call 'classical deformation theory' seems to be missing. Moreover, a number of technicalities and 'well-known' facts are scattered in a vast literature as folklore, sometimes with proofs available only in the complex analytic category. This book is an attempt to ll such a gap, at least p- tially. 356 pp. Englisch. N� de r�f. du vendeur 9783540306085

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Deformations of Algebraic Schemes

Edoardo Sernesi

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. - This book brings together for the first time some results so far scattered across a vast literature - Fills a long-standing gap in the literatur, where no reference book existed and the results had become folklore Edoardo Sernesi - v. N� de r�f. du vendeur 4887417

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Deformations of Algebraic Schemes

Edoardo Sernesi

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Deformations of Algebraic Schemes

Edoardo Sernesi

Edit� par Springer, Springer Vieweg Jul 2006, 2006

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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be �deformed� by suitably varying the coef cients of their de ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what �deforming� means leads into the technically most dif cult parts of our discipline. It is fair to say that such technical obstacles have had a vast impact on the crisis of the classical language and on the development of the modern one, based on the theory of schemes and on cohomological methods. The modern point of view originates from the seminal work of Kodaira and Spencer on small deformations of complex analytic manifolds and from its for- lization and translation into the language of schemes given by Grothendieck. I will not recount the history of the subject here since good surveys already exist (e. g. [27], [138], [145], [168]). Today, while this area is rapidly developing, a self-contained text covering the basic results of what we can call �classical deformation theory� seems to be missing. Moreover, a number of technicalities and �well-known� facts are scattered in a vast literature as folklore, sometimes with proofs available only in the complex analytic category. This book is an attempt to ll such a gap, at least p- tially.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 356 pp. Englisch. N� de r�f. du vendeur 9783540306085

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Deformations of Algebraic Schemes

Edoardo Sernesi

Edit� par Springer, Springer Vieweg, 2006

ISBN 10 : 3540306080 ISBN 13 : 9783540306085

Neuf Couverture rigide

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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be 'deformed' by suitably varying the coef cients of their de ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what 'deforming' means leads into the technically most dif cult parts of our discipline. It is fair to say that such technical obstacles have had a vast impact on the crisis of the classical language and on the development of the modern one, based on the theory of schemes and on cohomological methods. The modern point of view originates from the seminal work of Kodaira and Spencer on small deformations of complex analytic manifolds and from its for- lization and translation into the language of schemes given by Grothendieck. I will not recount the history of the subject here since good surveys already exist (e. g. [27], [138], [145], [168]). Today, while this area is rapidly developing, a self-contained text covering the basic results of what we can call 'classical deformation theory' seems to be missing. Moreover, a number of technicalities and 'well-known' facts are scattered in a vast literature as folklore, sometimes with proofs available only in the complex analytic category. This book is an attempt to ll such a gap, at least p- tially. N� de r�f. du vendeur 9783540306085

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