Minimal Free Resolutions over Complete Intersections by David Eisenbud, Irena Peeva.
Eisenbud, David. 28109
Peeva, Irena. 28120
Algebraic geometry. 28110
Category theory (Mathematics). 28111
Commutative algebra. 28112
Commutative rings. 28113
Homological algebra. 28114
Mathematical physics. 28115
512.62 Ei83M 23
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.
New York: Springer,
2016.
2016.
2016
Text
X, 107 p.
eng
Lecture Notes in Mathematics, 0075-8434 ; 2152
Lecture Notes in Mathematics, 2152 28121
Minimal free resolutions over complete intersections
Minimal free resolutions over complete intersections