| 書目名稱 | Joins and Intersections | | 編輯 | Hubert Flenner,Liam O’Carroll,Wolfgang Vogel | | 視頻video | http://file.papertrans.cn/502/501142/501142.mp4 | | 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 | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 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 | | 關鍵詞 | 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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