书目名称 | Higher-Dimensional Algebraic Geometry |
编辑 | Olivier Debarre |
视频video | |
丛书名称 | Universitext |
图书封面 |  |
描述 | .Higher-Dimensional Algebraic. .Geometry. studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author‘s goal is to provide an easily accessible introduction to the subject..The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Mori‘s minimal model program of classification of algebraic varieties by proving the cone and contraction theorems..The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction to graduate students and researchers.. |
出版日期 | Textbook 2001 |
关键词 | Dimension; Divisor; Grad; algebra; algebraic geometry; algebraic varieties |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4757-5406-3 |
isbn_softcover | 978-1-4419-2917-4 |
isbn_ebook | 978-1-4757-5406-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer Science+Business Media New York 2001 |