Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2152)
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Table of contents (8 chapters)
Keywords
About this book
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.
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Bibliographic Information
Book Title: Minimal Free Resolutions over Complete Intersections
Authors: David Eisenbud, Irena Peeva
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-26437-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-26436-3Published: 09 March 2016
eBook ISBN: 978-3-319-26437-0Published: 08 March 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 107
Topics: Commutative Rings and Algebras, Algebraic Geometry, Category Theory, Homological Algebra, Theoretical, Mathematical and Computational Physics