منابع مشابه
Derived Categories Of Quasi-coherent Sheaves
2 Derived Structures 4 2.1 Derived Direct Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Derived Sheaf Hom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Derived Inverse Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Existence of Quasi-coherent Flats . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملEquivalences of Derived Categories of Sheaves on Quasi-projective Schemes
We extend Orlov’s result on representability of equivalences to schemes projective over a field. We also investigate the quasi-projective case.
متن کاملGorenstein projective objects in Abelian categories
Let $mathcal {A}$ be an abelian category with enough projective objects and $mathcal {X}$ be a full subcategory of $mathcal {A}$. We define Gorenstein projective objects with respect to $mathcal {X}$ and $mathcal{Y}_{mathcal{X}}$, respectively, where $mathcal{Y}_{mathcal{X}}$=${ Yin Ch(mathcal {A})| Y$ is acyclic and $Z_{n}Yinmathcal{X}}$. We point out that under certain hypotheses, these two G...
متن کاملDerived Categories Of Sheaves
4 Derived Tensor 15 4.1 Tensor Product of Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.2 Hoflat Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.3 Derived Tensor Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.4 Change of Rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
متن کاملAbelian Categories
Abelian categories are the most general category in which one can develop homological algebra. The idea and the name “abelian category” were first introduced by MacLane [Mac50], but the modern axiomitisation and first substantial applications were given by Grothendieck in his famous Tohoku paper [Gro57]. This paper was motivated by the needs of algebraic geometry, where the category of sheaves ...
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ژورنال
عنوان ژورنال: Mémoires de la Société mathématique de France
سال: 1999
ISSN: 0249-633X,2275-3230
DOI: 10.24033/msmf.389