000 01756cam a22002655i 4500
001 137697
003 ISI Library, Kolkata
005 20170613113348.0
008 151125s2015 nyu 000 0 eng
020 _a9783319264363
040 _aISI Library
082 0 4 _a512.62
_223
_bEi36
100 1 _aEisenbud, David,
_eauthor
245 1 0 _aMinimal free resolutions over complete intersections /
_cDavid Eisenbud and Irena Peeva.
260 _aCham :
_bSpringer,
_c2016.
300 _ax, 107 pages :
_billustrations ;
_c24 cm.
490 0 _aLecture notes in mathematics ;
_v2152.
504 _aIncludes bibliographical references and index.
505 0 _a1. Introduction and Survey -- 2. Matrix Factorizations of One Element -- 3. Finite Resolutions of HMF Modules -- 4. CI Operators -- 5. Infinite Resolutions of HMF Modules -- 6. Far-Out Syzygies -- 7. The Gorenstein Case -- 8. Functoriality.
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 _aSyzygies (Mathematics)
650 0 _aFree resolutions (Algebra)
700 1 _aPeeva, Irena,
_eauthor
942 _2ddc
_cBK
999 _c421638
_d421638