
Minimal Free Resolutions over Complete Intersections
Springer (Publisher)
Published on 9. March 2016
Book
Paperback/Softback
X, 107 pages
978-3-319-26436-3 (ISBN)
Description
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.
Reviews / Votes
"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 understand the new material and put it in context." (Benjamin P. Richert, Mathematical Reviews, May, 2017)More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
X, 107 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 7 mm
Weight
195 gr
ISBN-13
978-3-319-26436-3 (9783319264363)
DOI
10.1007/978-3-319-26437-0
Schweitzer Classification
Other editions
Additional editions

David Eisenbud | Irena Peeva
Minimal Free Resolutions over Complete Intersections
E-Book
03/2016
Springer
€39.58
Available for download