Intersection Theory

William Fulton

484 pages, parution le 26/06/1998 (2^eme édition)

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Résumé

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic geometry. Fulton's introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996.

Written for: Graduate math students, Mathematicians

Sommaire

Rational Equivalence
Divisors
Vector Bundles
Cones and Segre Classes
Deformations to the Normal Cone
Intersection Products
Intersection Multiplicites
Intersections on Non-singular Varieties
Excess and Residual Intersections
Families of Algebraic Cycles
Dynamic Intersections
Positivity
Rationality
Degeneracy Loci and Grassmannians
Riemann-Roch for Non-singular Varieties
Correspondences
Bivariant Intersections Theory
Riemann-Roch for Singular Varieties
Algebraic: Homological and Numerical Equivalence
Generalizations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	William Fulton
Parution	26/06/1998
Édition	2^eme édition
Nb. de pages	484
Format	16 x 24
Couverture	Relié
Poids	680g
Intérieur	Noir et Blanc
EAN13	9780387985497
ISBN13	978-0-387-98549-7