书目名称 | Positivity in Algebraic Geometry I |
副标题 | Classical Setting: L |
编辑 | Robert Lazarsfeld |
视频video | |
概述 | Two volume work containing a contemporary account on Positivity in Algebraic Geometry.A good deal of the material has not previously appeared in book form.Volume I is more elementary than Volume II an |
丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
图书封面 |  |
描述 | .This two volume work on .Positivity in Algebraic Geometry. contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.. .Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II. . |
出版日期 | Book 2004 |
关键词 | Algebraic Varieties; Line Bundles; Linear Series; Multiplier Ideals; Vanishing Theorems; Vector Bundles |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-18808-4 |
isbn_softcover | 978-3-540-22528-7 |
isbn_ebook | 978-3-642-18808-4Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
issn_series | 0071-1136 |
copyright | Springer-Verlag Berlin Heidelberg 2004 |