000 | 01597cam a22002898i 4500 | ||
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001 | 138300 | ||
003 | ISI Library, Kolkata | ||
005 | 20180426161033.0 | ||
008 | 161201s2017 riu b 001 0 eng | ||
020 | _a9781470435707 (alk. paper) | ||
040 | _aISI Library | ||
082 | 0 | 4 |
_a510MS _223 _bAm512 |
100 | 1 |
_aGaitsgory, Dennis, _eauthor |
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245 | 1 | 0 |
_aStudy in derived algebraic geometry : _bvolume II: deformations Lie theory and formal geometry / _cDennis Gaitsgory and Nick Rozenblyum. |
260 |
_aProvidence : _bAmerican Mathematical Society, _c2017. |
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300 |
_axxxv, 436 pages ; _c26 cm. |
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490 | 0 |
_aMathematical surveys and monographs ; _vv 221. |
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504 | _aIncludes bibliographical references and index. | ||
505 | 0 | _avolume 2. Deformations, Lie theory, and formal geometry. | |
520 | _aDerived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. | ||
650 | 0 | _aAlgebraic geometry. | |
650 | 0 | _aDuality theory (Mathematics) | |
650 | 0 | _aLie algebras. | |
650 | 0 | _aGeometry. | |
700 | 1 |
_aRozenblyum, Nick, _eauthor |
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942 |
_2ddc _cBK |
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999 |
_c424425 _d424425 |