书目名称 | Positivity in Algebraic Geometry II |
副标题 | Positivity for Vecto |
编辑 | Robert Lazarsfeld |
视频video | |
概述 | Two volume work containing a contemporary account on "Positivity in Algebraic Geometry".Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik un |
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.. .Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover editionas Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".. |
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/10.1007/978-3-642-18810-7 |
isbn_softcover | 978-3-540-22531-7 |
isbn_ebook | 978-3-642-18810-7Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
issn_series | 0071-1136 |
copyright | Springer-Verlag Berlin Heidelberg 2004 |