Minimal Free Resolutions over Complete Intersections
Eisenbud, David.
creator
Peeva, Irena.
text
gw
New York
Springer
2016
monographic
eng
X, 107 p.
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.
by David Eisenbud, Irena Peeva.
Algebraic geometry
Category theory (Mathematics)
Commutative algebra
Commutative rings
Homological algebra
Mathematical physics
Commutative Rings and Algebras
Algebraic Geometry
Category Theory, Homological Algebra
Theoretical, Mathematical and Computational Physics
512.62 Ei83M
Minimal free resolutions over complete intersections
(DLC) 2015958653
Lecture Notes in Mathematics, 2152
9783319264363 (Pbk)
2019764671
DLC
160308
20220215104720.0
21818939
eng