TY  - GEN
AU  - Eisenbud, David 
AU  - Peeva, Irena
TI  - Minimal free resolutions over complete intersections
SN  - 9783319264363
U1  - 512.44 EIS 
PY  - 2016///
CY  - Cham, Switzerland
PB  - Springer
KW  - Mathematical and Computational Physics
KW  - Commutative Rings and Algebras.
KW  - Algebra, Homological
KW  - Algebra
KW  - Physical Sciences &​ Mathematics
KW  - Mathematics
KW  - Physics
KW  - Category Theory, Homological Algebra.
KW  - Commutative Algebra.
KW  - Theoretical
KW  - Resolvents (Mathematics)
KW  - Mathematical Physics
KW  - Algebraic Geometry
KW  - Mathematics -- Algebra -- Abstract
KW  - Science -- Mathematical Physics
KW  - Mathematical Foundations
KW  - Syzygies (Mathematics)
KW  - Mathematics -- Geometry -- Algebraic
N2  - 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.


ER  -