Cohomology and base change for algebraic stacks
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Publication:463984
DOI10.1007/s00209-014-1321-7zbMath1346.14005arXiv1206.4179OpenAlexW2130129899MaRDI QIDQ463984
Publication date: 17 October 2014
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.4179
Algebraic moduli problems, moduli of vector bundles (14D20) Generalizations (algebraic spaces, stacks) (14A20) Stacks and moduli problems (14D23) Derived categories and commutative rings (13D09)
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Cites Work
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- Noetherian approximation of algebraic spaces and stacks
- General Hilbert stacks and Quot schemes
- Openness of versality via coherent functors
- Finiteness theorems for the Picard objects of an algebraic stack
- The six operations for sheaves on Artin stacks. I: Finite coefficients
- Compactifying the Picard scheme
- Ein Kriterium für die Offenheit der Versalität
- Eine Bemerkung über relative Ext-Garben
- Coherent functors
- The intrinsic normal cone
- Coherent functors and covariantly finite subcategories
- Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor
- Non-left-complete derived categories
- The Hilbert stack
- Non-effective deformations of Grothendieck's Hilbert functor
- \(\underline{\Hom}\)-stacks and restriction of scalars
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Algebraic spaces
- On proper coverings of Artin stacks
- Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
- Triangulated Categories
- Intrinsic Characterizations of Some Additive Functors
- Remarks on the stack of coherent algebras
- Sheaves on Artin stacks
- Rings with Approximation Property Admit a Dualizing Complex
- Quot Functors for Deligne-Mumford Stacks
- Perfect complexes on algebraic stacks
- Derived 𝑙-adic categories for algebraic stacks
- The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
- ONE POSITIVE AND TWO NEGATIVE RESULTS FOR DERIVED CATEGORIES OF ALGEBRAIC STACKS
- Categories and Sheaves
- Nakayama's Lemma for Half-Exact Functors
- Coherent functors, with application to torsion in the Picard group
- On the derived category of sheaves on a manifold
