Minimal free resolutions over complete intersections

Author(s)

• Eisenbud, David
• Peeva, Irena

Bibliographic Information

Minimal free resolutions over complete intersections

David Eisenbud, Irena Peeva

（Lecture notes in mathematics, 2152）

Springer, c2016

Note

Includes bibliographical references (p. 103-105) and index

Description and Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BB20976947
• ISBN:
  • 9783319264363
• LCCN: 2015958653
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: x, 107 p.
• Size: 24 cm
• Classification:
  • DC23 : 512.4
• Subject Headings:
  • LCSH : Syzygies (Mathematics)
• Parent Bibliography ID:
  • BA00146586