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Viser: Minimal Free Resolutions over Complete Intersections
Minimal Free Resolutions over Complete Intersections Vital Source e-bog
David Eisenbud og Irena Peeva
(2016)
Minimal Free Resolutions over Complete Intersections
David Eisenbud og Irena Peeva
(2016)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Marts 2016)
- Forfattere: David Eisenbud og Irena Peeva
- ISBN: 9783319264370
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Detaljer om varen
- 1. Udgave
- Paperback
- Udgiver: Springer International Publishing AG (Marts 2016)
- Forfattere: David Eisenbud og Irena Peeva
- ISBN: 9783319264363
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.