2017, ISBN: 9783642067877

[ED: Taschenbuch], [PU: Springer Berlin Heidelberg], Neuware - In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can b… Mehr…

[ED: Taschenbuch], [PU: Springer Berlin Heidelberg], 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., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 235x155x20 mm, 356, [GW: 540g], Banküberweisung, PayPal, Internationaler Versand<

ISBN: 9783642067877

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 coefficien… Mehr…

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 coefficients of their defining 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 difficult 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 fill such a gap, at least p- tially. Trade Books>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1<

2010, ISBN: 3642067875

[EAN: 9783642067877], Neubuch, [PU: Springer Berlin Heidelberg Nov 2010], DEFORMATION; ALGEBRAICVARIETIES; DEFORMATIONTHEORY; FAMILY; SCHEME; OBSTRUCTION; FUNCTOR, This item is printed on… Mehr…

[EAN: 9783642067877], Neubuch, [PU: Springer Berlin Heidelberg Nov 2010], DEFORMATION; ALGEBRAICVARIETIES; DEFORMATIONTHEORY; FAMILY; SCHEME; OBSTRUCTION; FUNCTOR, This item is printed on demand - it takes 3-4 days longer - Neuware -This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry. 356 pp. Englisch, Books<

2010, ISBN: 9783642067877

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2006, 356 Seiten, Publiziert: 2010-11-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.1 kg, Algebra … Mehr…

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2006, 356 Seiten, Publiziert: 2010-11-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.1 kg, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Geometrie, Naturwissenschaften & Technik, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, Fremdsprachige Bücher, acc906d0-2585-4921-a56f-3ff277850936_4901, acc906d0-2585-4921-a56f-3ff277850936_0, Special Features Stores, Taschenbücher, acc906d0-2585-4921-a56f-3ff277850936_4201, Springer, 2010<