Results 41 to 50 of about 317,331 (198)

ROUQUIER’S CONJECTURE AND DIAGRAMMATIC ALGEBRA

Forum of Mathematics, Sigma, 2017
We prove a conjecture of Rouquier relating the decomposition numbers in category ${\mathcal{O}}$ for a cyclotomic rational Cherednik algebra to Uglov’s ...
BEN WEBSTER
doaj   +1 more source

Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences [PDF]

, 2016
We show that for many moduli spaces M of torsion sheaves on K3 surfaces S, the functor D(S) -> D(M) induced by the universal sheaf is a P-functor, hence can be used to construct an autoequivalence of D(M), and that this autoequivalence can be factored ...
Addington, N., Donovan, W., Meachan, C.
core   +2 more sources

Relative derived functors

Journal of Pure and Applied Algebra, 1990
AbstractThe Gabriel-Popescu Theorem states essentially that every Grothendieck category is (up to equivalence) of the form (R,σ)-mod, i.e., the quotient category of some left module category R-mod, by some Serre subcategory Tσ associated to an idempotent kernel functor σ.
B. Hendrickx, Alain Verschoren
openaire   +2 more sources

Formal deformations and their categorical general fibre

, 2011
We study the general fibre of a formal deformation over the formal disk of a projective variety from the view point of abelian and derived categories. The abelian category of coherent sheaves of the general fibre is constructed directly from the formal ...
Huybrechts, D., Macrì, E., Stellari, P.
core   +1 more source

So, what is a derived functor? [PDF]

Homology, Homotopy and Applications, 2020
In the context of infinity categories, we rethink the notion of derived functor in terms of correspondences. This is especially convenient for the description of a passage from an adjoint pair (F,G) of functors to a derived adjoint pair (LF,RG). In particular, canonicity of this passage becomes obvious.
openaire   +2 more sources

Twisted Fourier-Mukai functors

, 2006
Due to a theorem by Orlov every exact fully faithful functor between the bounded derived categories of coherent sheaves on smooth projective varieties is of Fourier-Mukai type.
Canonaco, Alberto, Stellari, Paolo
core   +1 more source

On the Derived Functors of Destabilization and of Iterated Loop Functors [PDF]

, 2017
These notes explain how to construct small functorial chain complexes which calculate the derived functors of destabilization (respectively iterated loop functors) in the theory of modules over the mod 2 Steenrod algebra; this shows how to unify results of Singer and of Lannes and Zarati.
openaire   +4 more sources

A comparison of Hochschild homology in algebraic and smooth settings

Bulletin of the London Mathematical Society, EarlyView.
Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley   +1 more source

Relative Riemann-Hilbert correspondence in dimension one

, 2017
We prove that, on a Riemann surface, the functor $\mathrm{RH}^S$ constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible ...
Fernandes, Teresa Monteiro, Sabbah, Claude   +1 more
core   +2 more sources

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source