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Riemann-Roch Algebra - Fulton, William Lang, Serge
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Fulton, William Lang, Serge:
Riemann-Roch Algebra - Livres de poche

2010, ISBN: 9781441930736

[ED: Softcover], [PU: Springer, Berlin], In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K--+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward homomorphisms and fA: A( X)--+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)A(X) fK j JA K( Y) ------p-+ A( Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that Riemann-Roch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this Riemann-Roch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises. 2010. x, 206 S. X, 205 p. 235 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Riemann-Roch Algebra - Serge Lang; William Fulton
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Riemann-Roch Algebra - livre d'occasion

ISBN: 1441930736

ID: 10862256

In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K--+A of contravariant functors. The Chern character being the central exam? ple, we call the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward homomorphisms and fA: A( X)--+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K( Y) ------p;-+ A( Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that Riemann-Roch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this Riemann-Roch type have appeared. Un? derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises. used books,books Books, Springer

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Riemann-Roch Algebra - William Fulton, Serge Lang
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William Fulton, Serge Lang:
Riemann-Roch Algebra - Livres de poche

ISBN: 1441930736

Edition reliée, ID: 13888848

Riemann-Roch Algebra ab 86.99 € als Taschenbuch: Grundlehren der mathematischen Wissenschaften. Softcover reprint of hardcover 1st ed. 1985. Aus dem Bereich: Bücher, Wissenschaft, Mathematik, Medien > Bücher, Springer New York

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Riemann-Roch Algebra als Buch von William Fulton, Serge Lang - Livres de poche

ISBN: 9781441930736

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Riemann-Roch Algebra ab 86.99 EURO Grundlehren der mathematischen Wissenschaften. Softcover reprint of hardcover 1st ed. 1985. Medien > Bücher, Springer New York

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Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften)

In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one m....

Informations détaillées sur le livre - Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften)


EAN (ISBN-13): 9781441930736
ISBN (ISBN-10): 1441930736
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer-Verlag GmbH
216 Pages
Poids: 0,334 kg
Langue: eng/Englisch

Livre dans la base de données depuis 20.04.2010 13:27:07
Livre trouvé récemment le 09.05.2018 23:20:41
ISBN/EAN: 9781441930736

ISBN - Autres types d'écriture:
1-4419-3073-6, 978-1-4419-3073-6


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