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＜E-Book＞
Minimal Free Resolutions over Complete Intersections / by David Eisenbud, Irena Peeva
(Lecture Notes in Mathematics. ISSN:16179692 ; 2152)

Edition	1st ed. 2016.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2016
Language	English
Size	X, 107 p : online resource
Authors	*Eisenbud, David author Peeva, Irena author SpringerLink (Online service)
Subjects	LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebraic geometry LCSH:Algebra, Homological LCSH:Mathematical physics FREE:Commutative Rings and Algebras FREE:Algebraic Geometry FREE:Category Theory, Homological Algebra FREE:Theoretical, Mathematical and Computational Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-26437-0

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