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Item Details
Title: MINIMAL FREE RESOLUTIONS OVER COMPLETE INTERSECTIONS
Volume: 2016
By: Irena Peeva, David Eisenbud
Format: Paperback

List price: £26.99


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ISBN 10: 3319264362
ISBN 13: 9783319264363
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 16 February, 2016
Edition: 2016 ed.
Series: Lecture Notes in Mathematics 2152
Pages: 107
Synopsis: 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.
Illustrations: biography
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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