书目名称 | Differential Algebraic Groups of Finite Dimension |
编辑 | Alexandru Buium |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Differential algebraic groups were introduced by P. Cassidyand E. Kolchinand are, roughly speaking, groups defined byalgebraic differential equations in the same way asalgebraic groups are groups defined by algebraic equations.The aim of the book is two-fold: 1) the provide an algebraicgeometer‘s introduction to differential algebraic groupsand2) to provide a structure and classification theory for thefinitedimensional ones. The main idea of the approach is torelate this topic tothe study of: a) deformations of (notnecessarily linear) algebraic groupsand b) deformations oftheir automorphisms. The reader is assumed to possesssomestandard knowledge of algebraic geometry but no familiaritywith Kolchin‘s work is necessary. The book is both aresearch monograph and an introduction to a new topic andthus will be of interest to a wide audience ranging fromresearchers to graduate students. |
出版日期 | Book 1992 |
关键词 | Dimension; Grad; algebraic geometry; algebraic group; commutative algebra |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0087235 |
isbn_softcover | 978-3-540-55181-2 |
isbn_ebook | 978-3-540-46764-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1992 |