Minimal Free Resolutions over Complete Intersections by David Eisenbud, Irena Peeva.

By:

Eisenbud, David

Contributor(s):

Peeva, Irena

Series: Lecture Notes in Mathematics ; 2152Publication details: New York: Springer, 2016.Description: X, 107 pISBN:

9783319264363 (Pbk)

Subject(s): Additional physical formats: Print version:: Minimal free resolutions over complete intersections; Printed edition:: No title; Printed edition:: No titleDDC classification:

512.62 Ei83M 23

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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Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode
Books	Central Library, IISER Bhopal Reference Section	Reference	512.62 Ei83M (Browse shelf(Opens below))	Not For Loan	Reserve		10881

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Previous	512.57 Et4T Tensor categories	512.6 Mc222H Homology	512.62 Aw6C2 Category theory	512.62 Ei83M Minimal Free Resolutions over Complete Intersections	512.62 H48C Categories for quantum theory :	512.62 L533B Basic category theory	512.62 Sp49C Category theory for the sciences	Next

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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