Lecture Notes in Mathematics

Minimal Free Resolutions over Complete Intersections

Authors: Eisenbud, David, Peeva, Irena

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About this book

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

“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)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $39.99
price for USA in USD
  • ISBN 978-3-319-26437-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts from 10 eBooks
Softcover $49.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Minimal Free Resolutions over Complete Intersections
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2152
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-26437-0
DOI
10.1007/978-3-319-26437-0
Softcover ISBN
978-3-319-26436-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 107
Topics