Minimal free resolutions over complete intersections / David Eisenbud and Irena Peeva.
Material type:
TextSeries: Lecture notes in mathematics ; 2152.Publication details: Cham : Springer, 2016.Description: x, 107 pages : illustrations ; 24 cmISBN: - 9783319264363
- 512.62 23 Ei36
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.62 Ei36 (Browse shelf(Opens below)) | Available | 137697 |
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| 512.6 G753 Higher dimensional categories: from double to multiple categories / | 512.6 M271 Versal deformations of Leibniz algebras | 512.62 Aw967 Category theory | 512.62 Ei36 Minimal free resolutions over complete intersections / | 512.62 G481 From objects to diagrams for ranges of functors | 512.62 L531 Basic category theory / | 512.62 L821 Algebraic operads |
Includes bibliographical references and index.
1. Introduction and Survey --
2. Matrix Factorizations of One Element --
3. Finite Resolutions of HMF Modules --
4. CI Operators --
5. Infinite Resolutions of HMF Modules --
6. Far-Out Syzygies --
7. The Gorenstein Case --
8. Functoriality.
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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