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001 | 21818939 | ||
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005 | 20220215104720.0 | ||
006 | m |o d | | ||
007 | cr ||||||||||| | ||
008 | 160308s2016 gw |||| o |||| 0|eng | ||
010 | _a 2019764671 | ||
020 | _a9783319264363 (Pbk) | ||
024 | 7 |
_a10.1007/978-3-319-26437-0 _2doi |
|
035 | _a(DE-He213)978-3-319-26437-0 | ||
040 |
_aDLC _beng _epn _erda _cIISERB |
||
072 | 7 |
_aMAT002010 _2bisacsh |
|
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aPBF _2thema |
|
082 | 0 | 4 |
_a512.62 Ei83M _223 |
100 | 1 |
_aEisenbud, David. _928109 |
|
245 | 1 | 0 |
_aMinimal Free Resolutions over Complete Intersections _cby David Eisenbud, Irena Peeva. |
260 |
_aNew York: _bSpringer, _c2016. |
||
300 | _aX, 107 p. | ||
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 |
_aAlgebraic geometry. _928110 |
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650 | 0 |
_aCategory theory (Mathematics). _928111 |
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650 | 0 |
_aCommutative algebra. _928112 |
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650 | 0 |
_aCommutative rings. _928113 |
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650 | 0 |
_aHomological algebra. _928114 |
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650 | 0 |
_aMathematical physics. _928115 |
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650 | 1 | 4 |
_aCommutative Rings and Algebras. _928116 |
650 | 2 | 4 |
_aAlgebraic Geometry. _928117 |
650 | 2 | 4 |
_aCategory Theory, Homological Algebra. _928118 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _928119 |
700 | 1 |
_aPeeva, Irena. _928120 |
|
776 | 0 | 8 |
_iPrint version: _tMinimal free resolutions over complete intersections _z9783319264363 _w(DLC) 2015958653 |
776 | 0 | 8 |
_iPrinted edition: _z9783319264363 |
776 | 0 | 8 |
_iPrinted edition: _z9783319264387 |
830 | 0 |
_aLecture Notes in Mathematics, _v2152 _928121 |
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906 |
_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg |
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942 |
_2ddc _cBK |
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999 |
_c9745 _d9745 |