Minimal Free Resolutions over Complete Intersections: 2152 (Lecture Notes in Mathematics, 2152) - Softcover

Eisenbud, David; Peeva, Irena

 
9783319264363: Minimal Free Resolutions over Complete Intersections: 2152 (Lecture Notes in Mathematics, 2152)

Synopsis

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783319264387: Minimal Free Resolutions over Complete Intersections

Featured Edition

ISBN 10:  3319264389 ISBN 13:  9783319264387
Publisher: Springer, 2016
Softcover