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Item Details
Title: INTRODUCTION TO INTERSECTION THEORY IN ALGEBRAIC GEOMETRY
By: William Fulton
Format: Paperback

List price: £29.95


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0821807048
ISBN 13: 9780821807040
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1984
Series: CBMS Regional Conference Series in Mathematics No. 54
Description: Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.
Synopsis: This book introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. It requires little technical background: much of the material is accessible to graduate students in mathematics. A broad survey, the book touches on many topics, most importantly introducing a powerful new approach developed by the author and R. MacPherson. It was written from the expository lectures delivered at the NSF-supported CBMS conference at George Mason University, held June 27-July 1, 1983.The author describes the construction and computation of intersection products by means of the geometry of normal cones. In the case of properly intersecting varieties, this yields Samuel's intersection multiplicity; at the other extreme it gives the self-intersection formula in terms of a Chern class of the normal bundle; in general it produces the excess intersection formula of the author and R. MacPherson.Among the applications presented are formulas for degeneracy loci, residual intersections, and multiple point loci; dynamic interpretations of intersection products; Schubert calculus and solutions to enumerative geometry problems; and Riemann-Roch theorems.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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