书目名称 | Joins and Intersections | 编辑 | Hubert Flenner,Liam O’Carroll,Wolfgang Vogel | 视频video | | 概述 | The book starts with a new approach to the theory of multiplicities..It contains as a central topic the Stückrad- Vogel Algorithm and its interpretation in terms of Segre classes..Using the join const | 丛书名称 | Springer Monographs in Mathematics | 图书封面 |  | 描述 | Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theor | 出版日期 | Book 1999 | 关键词 | Algebra; Bezout‘s theorem; Cohomology; Intersection theory; connectedness theorems; join varieties; residu | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-03817-8 | isbn_softcover | 978-3-642-08562-8 | isbn_ebook | 978-3-662-03817-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | issn_series | 1439-7382 | copyright | Springer-Verlag Berlin Heidelberg 1999 |
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