Ergebnisse der mathematik und ihrer grenzgebiete. 3. folge/a series of modern surveys in mathematics - 9783540306085 - deformations of algebraic schemes (grundlehren der mathematischen wissenschaften, 334, band 334) von sernesi, edoardo (9 Ergebnisse)

Sprache: Englisch
Verlag: Springer, 2006
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hardcover. Zustand: New. In shrink wrap. Looks like an interesting title.

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Zustand: New. pp. 360.

Sprache: Englisch
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Buch. Zustand: 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 classica…l 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.

Sprache: Englisch
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Buch. Zustand: 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.

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Zustand: 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 Edo…ardo Sernesi - v.

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Buch. Zustand: 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.

Sprache: Englisch
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Zustand: New. Print on Demand pp. 360 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam.

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Zustand: New. PRINT ON DEMAND pp. 360.