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Intersection Theory

Author: William Fulton
Publisher: New York, NY : Springer New York, 1998.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: William Fulton
ISBN: 9781461217008 1461217008
OCLC Number: 853260464
Description: 1 online resource (xiii, 470 pages)
Contents: 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.
Responsibility: by William Fulton.

Abstract:

Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the  Read more...

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Review of 1st Edition "...This text, with its brilliant content and excellently arranged, is a prime mover in algebraic geometry, and a must for each algebraic geometer! It is an indispensable Read more...

 
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