书目名称 | Intersection Theory | 编辑 | William Fulton | 视频video | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati | 图书封面 |  | 描述 | From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is d | 出版日期 | Book 1984 | 关键词 | Algebraische Geometrie; Blowing up; Divisor; Schnittheorie; Topologie; Zahlentheorie; algebra; algebraic ge | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-02421-8 | isbn_ebook | 978-3-662-02421-8Series ISSN 0071-1136 Series E-ISSN 2197-5655 | issn_series | 0071-1136 | copyright | Springer-Verlag Berlin Heidelberg 1984 |
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