TY - BOOK
AU - Eisenbud, David.
AU - Peeva, Irena.
TI - Minimal Free Resolutions over Complete Intersections
T2 - Lecture Notes in Mathematics,
SN - 9783319264
U1 - 512.62 Ei83M 23
PY - 2016///
CY - New York
PB - Springer
KW - Algebraic geometry
KW - Category theory (Mathematics)
KW - Commutative algebra
KW - Commutative rings
KW - Homological algebra
KW - Mathematical physics
KW - Commutative Rings and Algebras
KW - Algebraic Geometry
KW - Category Theory, Homological Algebra
KW - Theoretical, Mathematical and Computational Physics
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 -