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Minimal free resolutions over comple...

Eisenbud, David.

Minimal free resolutions over complete intersections

Record Type:	Electronic resources : Monograph/item
Title/Author:	Minimal free resolutions over complete intersectionsby David Eisenbud, Irena Peeva.
Author:	Eisenbud, David.
other author:	Peeva, Irena.
Published:	Cham :Springer International Publishing :2016.
Description:	x, 107 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Syzygies (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-26437-0
ISBN:	9783319264370$q(electronic bk.)

Minimal free resolutions over complete intersections
Eisenbud, David.

Minimal free resolutions over complete intersections[electronic resource] /by David Eisenbud, Irena Peeva. - Cham :Springer International Publishing :2016. - x, 107 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21520075-8434 ;. - Lecture notes in mathematics ;2035..

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: 9783319264370$q(electronic bk.)

Standard No.: 10.1007/978-3-319-26437-0doiSubjects--Topical Terms:

209274
Syzygies (Mathematics)

LC Class. No.: QA247

Dewey Class. No.: 512.62

Minimal free resolutions over complete intersections
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520 $a 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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