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2019764671
9783319264363 (Pbk)
10.1007/978-3-319-26437-0
doi
(DE-He213)978-3-319-26437-0
DLC
eng
pn
rda
IISERB
MAT002010
bisacsh
PBF
bicssc
PBF
thema
512.62 Ei83M
23
Eisenbud, David.
28109
Minimal Free Resolutions over Complete Intersections
by David Eisenbud, Irena Peeva.
New York:
Springer,
2016.
X, 107 p.
Lecture Notes in Mathematics,
0075-8434 ;
2152
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.
Algebraic geometry.
28110
Category theory (Mathematics).
28111
Commutative algebra.
28112
Commutative rings.
28113
Homological algebra.
28114
Mathematical physics.
28115
Commutative Rings and Algebras.
28116
Algebraic Geometry.
28117
Category Theory, Homological Algebra.
28118
Theoretical, Mathematical and Computational Physics.
28119
Peeva, Irena.
28120
Print version:
Minimal free resolutions over complete intersections
9783319264363
(DLC) 2015958653
Printed edition:
9783319264363
Printed edition:
9783319264387
Lecture Notes in Mathematics,
2152
28121
0
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