Results 1 to 10 of about 8,292,803 (317)
Under the Umbrella: Goal-Derived Category Construction and Product Category Nesting. [PDF]
Adm Sci Q, 2021 Categories are organized vertically, with product categories nested under larger umbrella categories. Meaning flows from umbrella categories to the categories beneath them, such that the construction of a new umbrella category can significantly reshape ...
Boghossian J, David RJ.
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High Frobenius pushforwards generate the bounded derived category
Forum of Mathematics, Sigma, 2023 This work concerns generators for the bounded derived category of coherent sheaves over a noetherian scheme X of prime characteristic. The main result is that when the Frobenius map on X is finite, for any compact generator G of $\mathsf {D}(X ...
Matthew R. Ballard +4 more
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TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY [PDF]
Forum of Mathematics, Sigma, 2016 We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
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Derived category of weak chain U-complexes [PDF]
HeliyonIn this paper, we define the derived category of weak chain U-complexes, and we give a characterization of any weak chain U-complex as an object in the right bounded homotopy category of weak chain U-complexes of projective modules.
Fajar Yuliawan +3 more
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The derived category with respect to a generator [PDF]
, 2014 Let $${\mathcal {G}}$$G be any Grothendieck category along with a choice of generator $$G$$G, or equivalently a generating set $$\{G_i\}$${Gi}. We introduce the derived category $${\mathcal {D}}(G)$$D(G), which kills all $$G$$G-acyclic complexes, by ...
James Gillespie
semanticscholar +3 more sources
The derived category of a GIT quotient [PDF]
, 2014 Given a quasiprojective algebraic variety with a reductive group action, we describe a relationship between its equivariant derived category and the derived category of its geometric invariant theory quotient.
Daniel Halpern-Leistner
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Derived Category of toric varieties with Picard number three [PDF]
Le Matematiche, 2009 We construct a full, strongly exceptional collection of line bundles on the variety X that is the blow up of the projectivization of the vector bundle O_{Pn−1} ⊕ O_{Pn−1}(b_1) along a linear space of dimension n − 2, where b_1 is a non-negative integer.
Arijit Dey +2 more
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Curve counting via stable pairs in the derived category
, 2007 For a nonsingular projective 3-fold X, we define integer invariants virtually enumerating pairs (C,D) where C⊂X is an embedded curve and D⊂C is a divisor. A virtual class is constructed on the associated moduli space by viewing a pair as an object in the
R. Pandharipande, Richard P. Thomas
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Exceptional sequences in the derived category of a gentle algebra [PDF]
Selecta Mathematica, 2022 In this paper, using the correspondence of gentle algebras and dissections of marked surfaces, we study full exceptional sequences in the perfect derived category $${{\,\mathrm{\mathsf {K^b(A)}}\,}}$$ K b ( A ) of a gentle algebra $${{\,\mathrm{\textsf{A}
Wen Chang, Sibylle Schroll
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Derived category of toric varieties with small Picard number
Open Mathematics, 2012 Costa Laura, Miró-Roig Rosa
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