2010, ISBN: 1441930736

[EAN: 9781441930736], Neubuch, [SC: 0.0], [PU: Springer New York], GRAD; GROTHENDIECK TOPOLOGY; ALGEBRAIC GEOMETRY; HOMOMORPHISM, Druck auf Anfrage Neuware - Printed after ordering - In v… Plus…

[EAN: 9781441930736], Neubuch, [SC: 0.0], [PU: Springer New York], GRAD; GROTHENDIECK TOPOLOGY; ALGEBRAIC GEOMETRY; HOMOMORPHISM, Druck auf Anfrage Neuware - Printed after ordering - 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., Books<

ISBN: 9781441930736

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… Plus…

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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer New York Core >1 >T<

2010, ISBN: 9781441930736

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1985, 216 Seiten, Publiziert: 2010-12-03T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9781441930736, 0.31 kg, Alg… Plus…

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1985, 216 Seiten, Publiziert: 2010-12-03T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9781441930736, 0.31 kg, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Geometrie, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Fremdsprachige Bücher, Featured Categories, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, acc906d0-2585-4921-a56f-3ff277850936_4901, acc906d0-2585-4921-a56f-3ff277850936_0, Special Features Stores, Taschenbücher, acc906d0-2585-4921-a56f-3ff277850936_4201, Springer, 2010<

2010, ISBN: 9781441930736

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[ED: Kartoniert / Broschiert], [PU: Springer New York], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I ?-Rings and Chern Classes.- II R… Plus…

[ED: Kartoniert / Broschiert], [PU: Springer New York], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I ?-Rings and Chern Classes.- II Riemann-Roch Formalism.- III Grothendieck Filtration and Graded K.- IV Local Complete Intersections.- V The K-functor in Algebr, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Softcover, 206, [GW: 308g], 1. Auflage, Banküberweisung, PayPal, [CT: Naturwissenschaft/Mathematik / Sonstiges - Naturwissenschaften]<