Results 11 to 20 of about 1,396,776 (138)
Arithmetic mirror symmetry for genus 1 curves with $n$ marked points [PDF]
, 2016 We establish a $\mathbb{Z}[[t_1,\ldots, t_n]]$-linear derived equivalence between the relative Fukaya category of the 2-torus with $n$ distinct marked points and the derived category of perfect complexes on the $n$-Tate curve.
Lekili, Yanki, Polishchuk, Alexander
core +2 more sources
Dualities and derived equivalences for category O [PDF]
, 2016 We determine the Ringel duals for all blocks in the parabolic versions of the BGG category O associated to a reductive finite dimensional Lie algebra. In particular we find that, contrary to the original category O and the specific previously known cases
Coulembier, Kevin, Mazorchuk, Volodymyr
core +3 more sources
The dual of Brown representability for some derived categories [PDF]
, 2016 Consider a complete abelian category which has an injective cogenerator. If its derived category is left--complete we show that the dual of this derived category satisfies Brown representability.
Modoi, George Ciprian
core +1 more source
Generating the bounded derived category and perfect ghosts [PDF]
, 2011 We show, for a wide class of abelian categories relevant in representation theory and algebraic geometry, that the bounded derived categories have no non-trivial strongly finitely generated thick subcategories containing all perfect complexes.
Oppermann, Steffen, Stovicek, Jan
core +1 more source
Derived Category Automorphisms from Mirror Symmetry
, 2004 Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Calabi-Yau variety.Comment: LaTeX, 27 pages, no figures; substantially revised;
Horja, Richard Paul
core +1 more source
, 2017 We show that, under particular conditions, if a t-structure in the unbounded derived category of a locally coherent Grothendieck category restricts to the bounded derived category of its category of finitely presented objects, then its heart is itself a ...
Saorín, Manuel
core +1 more source
The stable derived category of a noetherian scheme [PDF]
, 2004 For a noetherian scheme, we introduce its unbounded stable derived category. This leads to a recollement which reflects the passage from the bounded derived category of coherent sheaves to the quotient modulo the subcategory of perfect complexes.
Krause, Henning
core +2 more sources
Uniqueness of dg enhancements for the derived category of a Grothendieck category
, 2018 We prove that the derived category of a Grothendieck abelian category has a unique dg enhancement. Under some additional assumptions, we show that the same result holds true for its subcategory of compact objects.
Canonaco, Alberto, Stellari, Paolo
core +1 more source
Demazure descent and representations of reductive groups [PDF]
, 2014 We introduce the notion of Demazure descent data on a triangulated category C and define the descent category for such data. We illustrate the definition by our basic example. Let G be a reductive algebraic group with a Borel subgroup B.
Arkhipov, Sergey, Kanstrup, Tina
core +3 more sources
Effects of chronic browsing on life‐history traits of an irruptive large herbivore population
Population Ecology, EarlyView.This study aimed to determine the relationship between diet quality, body mass, and size (hind foot length), and female reproduction and sought to identify the mechanism by which high density under severe food limitations is maintained. Our results demonstrated that sika deer introduced to Nakanoshima Island have maintained high densities through high ...
Koichi Kaji +9 more
wiley +1 more source