| 书目名称 | Local Moduli and Singularities | | 编辑 | Olav Arnfinn Laudal,Gerhard Pfister | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 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 | | 关键词 | 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 |
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发表于 2025-3-21 18:07:19
