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.
| ISBN: | 9783319264363 |
| Publication date: | 9th March 2016 |
| Author: | David Eisenbud, Irena Peeva |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 107 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Algebra Algebraic geometry Mathematical physics |
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.
Minimal Free Resolutions Over Complete Intersections features in the following genres: Algebra, Algebraic geometry, Mathematical physics
Paperback. Not Available.
Minimal Free Resolutions Over Complete Intersections was written by David Eisenbud, Irena Peeva and published by Springer an imprint of Springer International Publishing
Minimal Free Resolutions Over Complete Intersections has 107 pages
Yes it is part of Lecture Notes in Mathematics series