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De Rham Cohomology of Differential Modules on Algebraic Varieties - Couverture souple
Livre 159 sur 169: Progress in Mathematics
Synopsis
This is the revised second edition of the well-received book by the first two authors. It offers a systematic treatment of the theory of vector bundles with integrable connection on smooth algebraic varieties over a field of characteristic 0. Special attention is paid to singularities along divisors at infinity, and to the corresponding distinction between regular and irregular singularities. The topic is first discussed in detail in dimension 1, with a wealth of examples, and then in higher dimension using the method of restriction to transversal curves.
The authors develop a new approach to classical algebraic/analytic comparison theorems in De Rham cohomology, and provide a unified discussion of the complex and the p-adic situations while avoiding the resolution of singularities.
They conclude with a proof of a conjecture by Baldassarri to the effect that algebraic and p-adic analytic De Rham cohomologies coincide, under an arithmetic condition on exponents.
As used in this text, the term “De Rham cohomology” refers to the hypercohomology of the De Rham complex of a connection with respect to a smooth morphism of algebraic varieties, equipped with the Gauss-Manin connection. This simplified approach suffices to establish the stability of crucial properties of connections based on higher direct images. The main technical tools used include: Artin local decomposition of a smooth morphism in towers of elementary fibrations, and spectral sequences associated with affine coverings and with composite functors.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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De Rham Cohomology of Differential Modules on Algebraic Varieties (eng)
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Springer International Publishing Jul 2021, 2021
ISBN 10 : 3030397211
ISBN 13 : 9783030397210
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is the revised second edition of the well-received book by the first two authors. It offers a systematic treatment of the theory of vector bundles with integrable connection on smooth algebraic varieties over a field of characteristic 0. Special attention is paid to singularities along divisors at infinity, and to the corresponding distinction between regular and irregular singularities. The topic is first discussed in detail in dimension 1, with a wealth of examples, and then in higher dimension using the method of restriction to transversal curves.The authors develop a new approach to classical algebraic/analytic comparison theorems in De Rham cohomology, and provide a unified discussion of the complex and the p-adic situations while avoiding the resolution of singularities.They conclude with a proof of a conjecture by Baldassarri to the effect that algebraic and p-adic analytic De Rham cohomologies coincide, under an arithmetic condition on exponents.As used in this text, the term 'De Rham cohomology' refers to the hypercohomology of the De Rham complex of a connection with respect to a smooth morphism of algebraic varieties, equipped with the Gauss-Manin connection. This simplified approach suffices to establish the stability of crucial properties of connections based on higher direct images. The main technical tools used include: Artin local decomposition of a smooth morphism in towers of elementary fibrations, and spectral sequences associated with affine coverings and with composite functors. 256 pp. Englisch. N° de réf. du vendeur 9783030397210
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Birkhäuser, 2021
ISBN 10 : 3030397211
ISBN 13 : 9783030397210
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Couverture souple
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Springer, Berlin|Springer International Publishing|Birkhäuser, 2021
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ISBN 13 : 9783030397210
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Couverture souple
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Etat : 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 differential modules in several variables. --Mat. N° de réf. du vendeur 488583002
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This is the revised second edition of the well-received book by the first two authors. It offers a systematic treatment of the theory of vector bundles with integrable connection on smooth algebraic varieties over a field of characteristic 0. Special attention is paid to singularities along divisors at infinity, and to the corresponding distinction between regular and irregular singularities. The topic is first discussed in detail in dimension 1, with a wealth of examples, and then in higher dimension using the method of restriction to transversal curves.The authors develop a new approach to classical algebraic/analytic comparison theorems in De Rham cohomology, and provide a unified discussion of the complex and the p-adic situations while avoiding the resolution of singularities.They conclude with a proof of a conjecture by Baldassarri to the effect that algebraic and p-adic analytic De Rham cohomologies coincide, under an arithmetic condition on exponents.As used in this text, the term 'De Rham cohomology' refers to the hypercohomology of the De Rham complex of a connection with respect to a smooth morphism of algebraic varieties, equipped with the Gauss-Manin connection. This simplified approach suffices to establish the stability of crucial properties of connections based on higher direct images. The main technical tools used include: Artin local decomposition of a smooth morphism in towers of elementary fibrations, and spectral sequences associated with affine coverings and with composite functors. N° de réf. du vendeur 9783030397210
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Taschenbuch. Etat : Neu. De Rham Cohomology of Differential Modules on Algebraic Varieties | Yves André (u. a.) | Taschenbuch | Progress in Mathematics | xiv | Englisch | 2021 | Birkhäuser | EAN 9783030397210 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 120279019
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De Rham Cohomology of Differential Modules on Algebraic Varieties
Edité par
Birkhäuser, Palgrave Macmillan Jul 2021, 2021
ISBN 10 : 3030397211
ISBN 13 : 9783030397210
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is the revised second edition of the well-received book by the first two authors. It offers a systematic treatment of the theory of vector bundles with integrable connection on smooth algebraic varieties over a field of characteristic 0. Special attention is paid to singularities along divisors at infinity, and to the corresponding distinction between regular and irregular singularities. The topic is first discussed in detail in dimension 1, with a wealth of examples, and then in higher dimension using the method of restriction to transversal curves.The authors develop a new approach to classical algebraic/analytic comparison theorems in De Rham cohomology, and provide a unified discussion of the complex and the p-adic situations while avoiding the resolution of singularities.They conclude with a proof of a conjecture by Baldassarri to the effect that algebraic and p-adic analytic De Rham cohomologies coincide, under an arithmetic condition on exponents.As used in this text, the term 'De Rham cohomology' refers to the hypercohomology of the De Rham complex of a connection with respect to a smooth morphism of algebraic varieties, equipped with the Gauss-Manin connection. This simplified approach suffices to establish the stability of crucial properties of connections based on higher direct images. The main technical tools used include: Artin local decomposition of a smooth morphism in towers of elementary fibrations, and spectral sequences associated with affine coverings and with composite functors.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 256 pp. Englisch. N° de réf. du vendeur 9783030397210
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De Rham Cohomology of Differential Modules on Algebraic Varieties (Progress in Mathematics)
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