书目名称 | Kodaira-Spencer Maps in Local Algebra |
编辑 | Bernd Herzog |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The monograph contributes to Lech‘s inequality - a 30-year-old problem of commutative algebra, originating in the work of Serre and Nagata, that relates the Hilbert function of the total space of an algebraic or analytic deformation germ to the Hilbert function of the parameter space..A weakened version of Lech‘s inequality is proved using a construction that can be considered as a local analog of the Kodaira-Spencer map known from the deformation theory of compact complex manifolds. The methods are quite elementary, and will be of interest for researchers in deformation theory, local singularities and Hilbert functions. |
出版日期 | Book 1994 |
关键词 | Hilbert series; Kodaira-Spencer map; algebra; deformation germ; flatification; ring filtration |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0074026 |
isbn_softcover | 978-3-540-58790-3 |
isbn_ebook | 978-3-540-49103-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |