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OverviewThe central topic of the book is refined Intersection Theory and its applications, the central tool of investigation being the Stuckrad-Vogel Intersection Algorithm, based on the join construction. This algorithm is used to present a general version of Bezout's Theorem, in classical and refined form. Connections with the Intersection Theory of Fulton-MacPherson are treated, using work of van Gastel employing Segre classes. Bertini theorems and Connectedness theorems form another major theme, as do various measures of multiplicity. We mix local algebraic techniques as e.g. the theory of residual intersections with more geometrical methods, and present a wide range of geometrical and algebraic applications and illustrative examples. The book incorporates methods from Commutative Algebra and Algebraic Geometry and therefore it will deepen the understanding of Algebraists in geometrical methods and widen the interest of Geometers in major tools from Commutative Algebra. Full Product DetailsAuthor: H. Flenner , L. O'Carroll , W. VogelPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1999 ed. Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 1.390kg ISBN: 9783540663195ISBN 10: 3540663193 Pages: 301 Publication Date: 08 October 1999 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of Contents1. The Classical Bezout Theorem..- 2. The Intersection Algorithm and Applications.- 3. Connectedness and Bertini Theorems.- 4. Joins and Intersections.- 5. Converse to Bezout’s Theorem.- 6. Intersection Numbers and their Properties.- 7. Linkage, Koszul Cohomology and Intersections.- 8. Further Applications.- A. Appendix..- A.1 Some Standard Results from Commutative Algebra.- A.2 Gorenstein Rings.- A.3 Historical Remarks.- Index of Notations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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