Minimal free resolutions over complete intersections

By:

Eisenbud, David

Contributor(s):

Peeva, Irena

Series: Lecture notes in mathematics, 0075-8434 ; Vol.2152Publication details: Springer, 2016 Cham, Switzerland:Description: x; 107p. pb; 20 cmISBN:

9783319264363

Subject(s):

DDC classification:

512.44 EIS

Summary: 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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Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	512.44 EIS (Browse shelf(Opens below))	1	Available		028460

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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