Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Bodzenta, Agnieszka"'
Autor:
Bodzenta, Agnieszka, Donovan, Will
For an effective Cartier divisor D on a scheme X we may form an nth root stack. Its derived category is known to have a semiorthogonal decomposition with components given by D and X. We show that this decomposition is 2n-periodic. For n=2 this gives
Externí odkaz:
http://arxiv.org/abs/2307.09888
Autor:
Bodzenta, Agnieszka, Bondal, Alexey
We define a normal surface $X$ to be codim-2-saturated if any open embedding of $X$ into a normal surface with the complement of codimension 2 is an isomorphism. We show that any normal surface $X$ allows a codim-2-saturated model $\widehat{X}$ toget
Externí odkaz:
http://arxiv.org/abs/2302.04635
Autor:
Bodzenta, Agnieszka, Bondal, Alexey
We define admissible and weakly admissible subcategories in exact categories and prove that the former induce semi-orthogonal decompositions on the derived categories. We develop the theory of thin exact categories, an exact-category analogue of tria
Externí odkaz:
http://arxiv.org/abs/2012.15707
Autor:
Bodzenta, Agnieszka, Bondal, Alexey
We define the functor $\textrm{ncDef}_{(Z_1,\ldots,Z_n)}$ of non-commutative deformations of an $n$-tuple of objects in an arbitrary $k$-linear abelian category $\mathcal{Z}$. In our categorified approach, we view the underlying spaces of infinitesim
Externí odkaz:
http://arxiv.org/abs/2004.03084
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Bodzenta, Agnieszka, Bondal, Alexey
Given a relatively projective birational morphism $f\colon X\to Y$ of smooth algebraic spaces with dimension of fibers bounded by 1, we construct tilting relative (over $Y$) generators $T_{X,f}$ and $S_{X,f}$ in $\mathcal{D}^b(X)$. We develop a piece
Externí odkaz:
http://arxiv.org/abs/1701.08834
In their previous work, S. Koenig, S. Ovsienko and the second author showed that every quasi-hereditary algebra is Morita equivalent to the right algebra, i.e. the opposite algebra of the left dual, of a coring. Let $A$ be an associative algebra and
Externí odkaz:
http://arxiv.org/abs/1701.06222
Autor:
Bodzenta, Agnieszka, Bondal, Alexey
We study derived categories of Gorenstein varieties X and X^+ connected by a flop. We assume that the flopping contractions f: X \to Y, f^+: X^+ \to Y have fibers of dimension bounded by 1 and Y has canonical hypersurface singularities of multiplicit
Externí odkaz:
http://arxiv.org/abs/1511.00665
Autor:
Bodzenta, Agnieszka
Let X be a smooth rational surface. We calculate a DG quiver of a full exceptional collection of line bundles on X obtained by an augmentation from a strong exceptional collection on the minimal model of X. In particular, we calculate canonical DG al
Externí odkaz:
http://arxiv.org/abs/1301.6338
Autor:
Bodzenta, Agnieszka
Bondal and Kapranov describe how to assign to a full exceptional collection on a variety X a DG category C such that the bounded derived category of coherent sheaves on X is equivalent to the bounded derived category of C. In this paper we show that
Externí odkaz:
http://arxiv.org/abs/1205.6148