Minimal Free Resolutions over Complete Intersections

1. Auflage 2016
ISBN: 978-3-319-26436-3
Verlag: Springer International Publishing

Buch, Englisch, Band 2152, 107 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1942 g

Reihe: Lecture Notes in Mathematics

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.  

Zielgruppe

Research

Autoren/Hrsg.

Peeva, Irena

Eisenbud, David

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie