Minimal Free Resolutions over Complete Intersections (Paperback, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2152
Release date:	March 2016
First published:	2016
Authors:	David Eisenbud • Irena Peeva
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Paperback
Pages:	107
Edition:	1st ed. 2016
ISBN-13:	978-3-319-26436-3
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-319-26436-2
Barcode:	9783319264363

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