000			01982 a2200409 4500
999			_c51868 _d51868
008			191219b ||||| |||| 00| 0 eng d
020			_a9783319264363
082			_a512.44 EIS
100			_aEisenbud, David
245			_aMinimal free resolutions over complete intersections
260			_bSpringer, _c2016 _aCham, Switzerland:
300			_ax; 107p. _bpb; _c20 cm
365			_aEURO _b34.99
440			_aLecture notes in mathematics, 0075-8434 ; Vol.2152
520			_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.
650			_aMathematical and Computational Physics
650			_aCommutative Rings and Algebras.
650			_aAlgebra, Homological.
650			_aAlgebra
650			_aPhysical Sciences &​ Mathematics
650			_aMathematics
650			_aPhysics
650			_aCategory Theory, Homological Algebra.
650			_aCommutative Algebra.
650			_aTheoretical
650			_aResolvents (Mathematics)
650			_aAlgebra
650			_aMathematical Physics
650			_aAlgebraic Geometry
650			_aMathematics -- Algebra -- Abstract.
650			_aScience -- Mathematical Physics
650			_aMathematical Foundations
650			_aSyzygies (Mathematics)
650			_aMathematics -- Geometry -- Algebraic.
700			_aPeeva, Irena
942			_2ddc _cTD