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Minimal free resolutions over complete intersections

Author: David Eisenbud; Irena Peeva
Publisher: Cham : Springer, 2016.
Series: Lecture notes in mathematics (Springer-Verlag), 2152.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Eisenbud; Irena Peeva
ISBN: 9783319264370 3319264370 3319264362 9783319264363
OCLC Number: 944445429
Description: 1 online resource (x, 107 pages).
Contents: Introduction and Survey --
Matrix Factorizations of One Element --
Finite Resolutions of HMF Modules --
CI Operators --
Infinite Resolutions of HMF Modules --
Far-Out Syzygies --
The Gorenstein Case --
Functoriality.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2152.
Responsibility: David Eisenbud, Irena Peeva.

Abstract:

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.  Read more...

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"The text provides a wonderful introduction describing the background which led to the development of higher matrix factorizations and includes (with proofs and examples) all the theory required to Read more...

 
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