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Catalogue Information
Field name	Details
Dewey Class	512.44
Title	Minimal Free Resolutions over Complete Intersections ([EBook]) / by David Eisenbud, Irena Peeva
Author	Eisenbud, David , 1947-
Added Personal Name	Peeva, Irena
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2016
Publication	Cham : Springer International Publishing , 2016
Physical Details	X, 107 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2152
ISBN	9783319264370
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-26437-0
Links to Related Works	Subject References: Algebraic Geometry . Category Theory, Homological Algebra . Category theory (Mathematics) . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Homological algebra . Mathematics . Theoretical, Mathematical and Computational Physics . Authors: author . Eisenbud, David 1947- . Peeva, Irena . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.44 .

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Minimal Free Resolutions over Complete Intersections

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