Results 11 to 20 of about 8,292,803 (317)

Classification of discrete derived categories

open access: greenOpen Mathematics, 2004
Bobiński Grzegorz   +2 more
doaj   +2 more sources

On the derived category of the Iwahori–Hecke algebra [PDF]

open access: yesCompositio Mathematica, 2020
We state a conjecture that relates the derived category of smooth representations of a $p$-adic split reductive group with the derived category of (quasi-)coherent sheaves on a stack of L-parameters.
E. Hellmann
semanticscholar   +1 more source

Duality for powerset coalgebras [PDF]

open access: yesLogical Methods in Computer Science, 2022
Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-homomorphisms. We show that the forgetful functor from CABA to CSL has a left
Guram Bezhanishvili   +2 more
doaj   +1 more source

Viriforms—A New Category of Classifiable Virus-Derived Genetic Elements

open access: yesBiomolecules, 2023
The International Committee on Taxonomy of Viruses (ICTV) recently accepted viriforms as a new polyphyletic category of classifiable virus-derived genetic elements, juxtaposed to the polyphyletic virus, viroid, and satellite nucleic acid categories ...
Jens H. Kuhn, Eugene V. Koonin
doaj   +1 more source

Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve

open access: yesForum of Mathematics, Sigma, 2023
We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree.
Kyoung-Seog Lee, Han-Bom Moon
doaj   +1 more source

Derived category of moduli of pointed curves. I [PDF]

open access: yesAlgebraic Geometry, 2017
This is the first paper in the sequence devoted to derived category of moduli spaces of curves of genus $0$ with marked points. We develop several approaches to describe it equivariantly with respect to the action of the symmetric group permuting marked ...
Ana-Maria Castravet, J. Tevelev
semanticscholar   +1 more source

The derived category of the projective line [PDF]

open access: yesSpectral Structures and Topological Methods in Mathematics, 2017
We examine the localizing subcategories of the derived category of quasi-coherent sheaves on the projective line over a field. We provide a complete classification of all such subcategories which arise as the kernel of a cohomological functor to a ...
H. Krause, Greg Stevenson
semanticscholar   +1 more source

Comparison theorems for Kan, faintly universal and strongly universal derived functors [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
We distinguish between faint, weak, strong and strict localizations of categories at morphism families and show that this framework captures the different types of derived functors that are considered in the literature.
Alisa Govzmann   +2 more
doaj  

Hall algebras in the derived category and higher-rank DT invariants [PDF]

open access: yesAlgebraic Geometry, 2016
We remark that the combination of the works of Ben-Bassat-Brav-Bussi-Joyce and Alper-Hall-Rydh imply the conjectured local description of the moduli stacks of semi-Schur objects in the derived category of coherent sheaves on projective Calabi-Yau 3-folds.
Yukinobu Toda
semanticscholar   +1 more source

Perverse sheaves on Riemann surfaces as Milnor sheaves

open access: yesForum of Mathematics, Sigma, 2023
Constructible sheaves of abelian groups on a stratified space can be equivalently described in terms of representations of the exit-path category. In this work, we provide a similar presentation of the abelian category of perverse sheaves on a stratified
Tobias Dyckerhoff   +2 more
doaj   +1 more source

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