9783764363482 - de rham cohomology of differential modules on algebraic varieties: 189 di andre, yves; baldassarri, francesco (17 risultati)

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De Rham cohomology of differential modules on algebraic varieties. Progress in mathematics; Bd. 189.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03970 9783764363482 Sprache: Englisch Gewicht in Gramm: 1050.

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Condizione: New. Series: Progress in Mathematics. BIC Classification: PBM. Dimension: 235 x 155. Weight in Grams: 1100. . 2000. Hardback. . . . .

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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a study of algebraic differential modules in several variables, and of some of their relations with analytic differential modules. Let us explain its source. The idea of computing the cohomology of a manifold, in particular its Betti numbers, by…means of differential forms goes back to E. Cartan and G. De Rham. In the case of a smooth complex algebraic variety X, there are three variants: i) using the De Rham complex of algebraic differential forms on X, ii) using the De Rham complex of holomorphic differential forms on the analytic an manifold X underlying X, iii) using the De Rham complex of Coo complex differential forms on the differ entiable manifold Xdlf underlying Xan. These variants tum out to be equivalent. Namely, one has canonical isomorphisms of hypercohomology: While the second isomorphism is a simple sheaf-theoretic consequence of the Poincare lemma, which identifies both vector spaces with the complex cohomology H (XtoP, C) of the topological space underlying X, the first isomorphism is a deeper result of A. Grothendieck, which shows in particular that the Betti numbers can be computed algebraically. This result has been generalized by P. Deligne to the case of nonconstant coeffi cients: for any algebraic vector bundle .M on X endowed with an integrable regular connection, one has canonical isomorphisms The notion of regular connection is a higher dimensional generalization of the classical notion of fuchsian differential equations (only regular singularities).

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Condizione: New. Series: Progress in Mathematics. BIC Classification: PBM. Dimension: 235 x 155. Weight in Grams: 1100. . 2000. Hardback. . . . . Books ship from the US and Ireland.

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Lingua: Inglese
Editore: Springer, Basel, Birkhäuser Basel, Birkhäuser Dez 2000 2000
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a study of algebraic differential modules in several variables, and of some of their relations with analytic differential modules. Let us explain its source. The idea of computing the cohomology of a manifold, in particular its Be…tti numbers, by means of differential forms goes back to E. Cartan and G. De Rham. In the case of a smooth complex algebraic variety X, there are three variants: i) using the De Rham complex of algebraic differential forms on X, ii) using the De Rham complex of holomorphic differential forms on the analytic an manifold X underlying X, iii) using the De Rham complex of Coo complex differential forms on the differ entiable manifold Xdlf underlying Xan. These variants tum out to be equivalent. Namely, one has canonical isomorphisms of hypercohomology: While the second isomorphism is a simple sheaf-theoretic consequence of the Poincare lemma, which identifies both vector spaces with the complex cohomology H (XtoP, C) of the topological space underlying X, the first isomorphism is a deeper result of A. Grothendieck, which shows in particular that the Betti numbers can be computed algebraically. This result has been generalized by P. Deligne to the case of nonconstant coeffi cients: for any algebraic vector bundle .M on X endowed with an integrable regular connection, one has canonical isomorphisms The notion of regular connection is a higher dimensional generalization of the classical notion of fuchsian differential equations (only regular singularities). 214 pp. Englisch.

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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. .A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong.This is a nicely-written book [that] studies algebraic di…fferential modules in several variables.

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Condizione: New. Print on Demand pp. 228 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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Buch. Condizione: Neu. De Rham Cohomology of Differential Modules on Algebraic Varieties | Yves André (u. a.) | Buch | Progress in Mathematics | vii | Englisch | 2000 | Birkhäuser | EAN 9783764363482 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, j…uergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is a study of algebraic differential modules in several variables, and of some of their relations with analytic differential modules. Let us explain its source. The idea of computing the cohomology of a manifold, in particular its Betti…numbers, by means of differential forms goes back to E. Cartan and G. De Rham. In the case of a smooth complex algebraic variety X, there are three variants: i) using the De Rham complex of algebraic differential forms on X, ii) using the De Rham complex of holomorphic differential forms on the analytic an manifold X underlying X, iii) using the De Rham complex of Coo complex differential forms on the differ entiable manifold Xdlf underlying Xan. These variants tum out to be equivalent. Namely, one has canonical isomorphisms of hypercohomology: While the second isomorphism is a simple sheaf-theoretic consequence of the Poincare lemma, which identifies both vector spaces with the complex cohomology H (XtoP, C) of the topological space underlying X, the first isomorphism is a deeper result of A. Grothendieck, which shows in particular that the Betti numbers can be computed algebraically. This result has been generalized by P. Deligne to the case of nonconstant coeffi cients: for any algebraic vector bundle .M on X endowed with an integrable regular connection, one has canonical isomorphisms The notion of regular connection is a higher dimensional generalization of the classical notion of fuchsian differential equations (only regular singularities).Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 228 pp. Englisch.