02172nam a2200385 i 4500991003409039707536m o d cr cnu|||unuuu170808s2016 sz ob 001 0 eng d9783319264370331926437010.1007/978-3-319-26437-0b14329293-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.6223AMS 13D02Eisenbud, David57349Minimal free resolutions over complete intersections[e-book] /David Eisenbud, Irena PeevaCham :Springer,20161 online resource (x, 107 pages)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarrierLecture notes in mathematics,1617-9692 ;2152Includes bibliographical references and indexThis 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 physicsSyzygies (Mathematics)Resolvents (Mathematics)Peeva, Irenaauthorhttp://id.loc.gov/vocabulary/relators/aut502364https://link.springer.com/book/10.1007/978-3-319-26437-0An electronic book accessible through the World Wide Web.b1432929303-03-2208-08-17991003409039707536Minimal free resolutions over complete intersections1413474UNISALENTOle01308-08-17m@ -engsz 00