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

By: Contributor(s): 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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Books Books Central Library, IISER Bhopal Reference Section Reference 512.62 Ei83M (Browse shelf(Opens below)) Not For Loan Reserve 10881

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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