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商品詳細
Minimal Free Resolutions over Complete Intersections. 1st ed. 2016.
・ISBN 978-3-319-26436-3 paper EUR 37.99
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| 著者・編者 | Eisenbud, David / Peeva, Irena, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 107 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24205＞ |
解説
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957.
The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics.