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Minimal Free Resolutions over Complete Intersections

Language EnglishEnglish
Book Paperback
Book Minimal Free Resolutions over Complete Intersections David Eisenbud
Libristo code: 09925379
Publishers Springer International Publishing AG, February 2016
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to d... Full description
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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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About the book

Full name Minimal Free Resolutions over Complete Intersections
Author David Eisenbud, Irena Peeva
Language English
Binding Book - Paperback
Date of issue 2016
Number of pages 107
EAN 9783319264363
ISBN 3319264362
Libristo code 09925379
Publishers Springer International Publishing AG
Weight 200
Dimensions 237 x 158 x 13

Categories

Mathematics & Science > Mathematics > Geometry > Algebraic geometry
Mathematics & Science > Mathematics > Mathematical foundations
Mathematics & Science > Mathematics > Algebra
Mathematics & Science > Physics > Mathematical physics
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