| 書目名稱 | Local Moduli and Singularities |
| 編輯 | Olav Arnfinn Laudal,Gerhard Pfister |
| 視頻video | http://file.papertrans.cn/588/587685/587685.mp4 |
| 叢書名稱 | Lecture Notes in Mathematics |
| 圖書封面 |  |
| 描述 | This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory. |
| 出版日期 | Book 1988 |
| 關鍵詞 | Morphismus; algebra; automorphism; deformation theory; moduli space; semigroup |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0078937 |
| isbn_softcover | 978-3-540-19235-0 |
| isbn_ebook | 978-3-540-39153-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1988 |
|Archiver|手機版|小黑屋|
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