000 01583nam 2200313| 4500
001 84779
005 20200204150324.0
010 _a978-3-319-26437-0
_dcompra
090 _a84779
100 _a20190128d2016 k||y0pory50 ba
101 _aeng
102 _aCH
200 _aMinimal free resolutions over complete intersections
_bDocumento eletrónico
_fDavid Eisenbud, Irena Peeva
210 _aCham
_cSpringer International Publishing
_d2016
215 _aX, 107 p.
225 _aLecture Notes in Mathematics
_h2152
300 _aColocação: Online
303 _aThis 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.
410 _x0075-8434
_v2152
606 _aÁlgebra
606 _aGeometria algébrica
680 _aQA251
700 _aEisenbud
_bDavid
701 _914401
_aPeeva
_bIrena
_4070
801 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-319-26437-0
942 _2lcc
_cF
_n0