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Author: Eduard Looijenga Publisher: Cambridge University Press ISBN: 0521286743 Category : Mathematics Languages : en Pages : 217
Book Description
This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.
Author: Eduard Looijenga Publisher: Cambridge University Press ISBN: 0521286743 Category : Mathematics Languages : en Pages : 217
Book Description
This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.
Author: Alessio Corti Publisher: Cambridge University Press ISBN: 9780521636414 Category : Mathematics Languages : en Pages : 364
Book Description
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.
Author: William Fulton Publisher: Springer Science & Business Media ISBN: 1475718586 Category : Mathematics Languages : en Pages : 215
Book Description
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.
Author: James Damon Publisher: American Mathematical Soc. ISBN: 0821804812 Category : Mathematics Languages : en Pages : 130
Book Description
Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.
Author: Joe Harris Publisher: Springer Science & Business Media ISBN: 1475721897 Category : Mathematics Languages : en Pages : 344
Book Description
"This book succeeds brilliantly by concentrating on a number of core topics...and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship." --MATHEMATICAL REVIEWS
Author: Satya Mandal Publisher: Springer ISBN: 3540695982 Category : Mathematics Languages : en Pages : 121
Book Description
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions." These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.
Author: Eduard Looijenga
Author: Eduard Looijenga
Author: Alessio Corti
Author: S. Greco
Author: William Fulton
Author: James Damon
Author: David Eisenbud
Author: Martin Herschend
Author: Joe Harris
Author: Satya Mandal
Author: James Michael Hornell