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＜電子ブック＞
Minimal Free Resolutions over Complete Intersections / by David Eisenbud, Irena Peeva
(Lecture Notes in Mathematics. ISSN:16179692 ; 2152)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	X, 107 p : online resource
著者標目	*Eisenbud, David author Peeva, Irena author SpringerLink (Online service)
件　名	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
一般注記	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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