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Minimal Free Resolutions over Complete Intersections

Minimal Free Resolutions over Complete Intersections
Catalogue Information
Field name Details
Dewey Class 512.44
Title Minimal Free Resolutions over Complete Intersections ([EBook]) / by David Eisenbud, Irena Peeva
Author Eisenbud, David , 1947-
Added Personal Name Peeva, Irena
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2016
Publication Cham : Springer International Publishing , 2016
Physical Details X, 107 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 2152
ISBN 9783319264370
Summary Note 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.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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