000 02808nam a22005055i 4500
001 978-3-319-26437-0
003 DE-He213
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008 160308s2016 gw | s |||| 0|eng d
020 _a9783319264370
_9978-3-319-26437-0
024 7 _a10.1007/978-3-319-26437-0
_2doi
050 4 _aQA251.3
072 7 _aPBF
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBF
_2thema
082 0 4 _a512.44
_223
100 1 _aEisenbud, David.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMinimal Free Resolutions over Complete Intersections
_h[electronic resource] /
_cby David Eisenbud, Irena Peeva.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aX, 107 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2152
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 0 _aAlgebra.
650 0 _aGeometry, algebraic.
650 1 4 _aCommutative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11043
650 2 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aCategory Theory, Homological Algebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11035
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
700 1 _aPeeva, Irena.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319264363
776 0 8 _iPrinted edition:
_z9783319264387
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2152
856 4 0 _uhttps://doi.org/10.1007/978-3-319-26437-0
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10846
_d10846