Minimal Free Resolutions over Complete Intersections
Minimal Free Resolutions over Complete Intersections
复制标题
完整交叉点上的最小自由分辨率
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
I. Peeva
中科院分区：
文献类型：
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作者：
D. Eisenbud;I. Peeva
这本书介绍了正则序列的更高矩阵分解的理论，并用它来描述完全交上的高合子模的最小自由分辨率。自从Tate在1957年优雅地构造了残留场的最小自由分辨以来，这样的分辨就引起了人们的注意。该理论推广了Eisenbud于1980年提出的非零因子矩阵分解理论，给出了超曲面环上最小自由分解的最终结构的描述。矩阵分解在从奇点理论到数学物理的广泛数学领域中还有许多其他用途。
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.
Tor 作为外部代数的模块
影响因子：
2.6
作者：
Eisenbud, David;Peeva, Irena;Schreyer, Frank-Olaf
通讯作者：
Schreyer, Frank-Olaf