Add to ORKGWe prove that the bounded derived category of coherent sheaves reconstructs the isomorphism classes of fibrations of a smooth projective complex variety onto smooth curves of genus g>1. Moreover we extend this invariance to special classes of fibrations over higher-dimensional bases.Comment: 17 pages, comments welcome. v3: removed Proposition 5 of v2 because wrong and simplified proof of Theorem 2. Corrected a mistake in Section 6. To appear in Kyoto J. of Mat
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic cu...
In this talk we study the behavior of special classes of fibrations onto normal projective varieties...
We discuss the question of finding conditions on a derived equivalence between two smooth projective...
Let $a_X : X ightarrow mathrm{Alb} X$ be the Albanese map of a smooth complex projective variety. ...
We study the behavior of cohomological support loci of the canonical bundle under derived equivalenc...
complexes of OX-modules with coherent cohomologies. 1 To what extent does D(X) determine X. Biration...
Abstract We provide a necessary and sufficient condition for the derived self-intersection of a smoo...
Abstract We provide a necessary and sufficient condition for the derived self-intersection of a smoo...
Let $f: S \longrightarrow C$ be a surjective morphism with connected fibers from a smooth complex pr...
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
We consider an algebraic variety X together with the choice of a subvariety Z. We show that any cohe...
We show that, for any fixed weight, there is a natural system of Hodge sheaves, whose Higgs field ha...
In this paper, we study the twisted Fourier-Mukai partners of abelian surfaces. Following the work o...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic cu...
In this talk we study the behavior of special classes of fibrations onto normal projective varieties...
We discuss the question of finding conditions on a derived equivalence between two smooth projective...
Let $a_X : X ightarrow mathrm{Alb} X$ be the Albanese map of a smooth complex projective variety. ...
We study the behavior of cohomological support loci of the canonical bundle under derived equivalenc...
complexes of OX-modules with coherent cohomologies. 1 To what extent does D(X) determine X. Biration...
Abstract We provide a necessary and sufficient condition for the derived self-intersection of a smoo...
Abstract We provide a necessary and sufficient condition for the derived self-intersection of a smoo...
Let $f: S \longrightarrow C$ be a surjective morphism with connected fibers from a smooth complex pr...
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
We consider an algebraic variety X together with the choice of a subvariety Z. We show that any cohe...
We show that, for any fixed weight, there is a natural system of Hodge sheaves, whose Higgs field ha...
In this paper, we study the twisted Fourier-Mukai partners of abelian surfaces. Following the work o...
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold...
We show that if $X\subset\mathbb P^N_k$ is a normal variety of dimension $n\geq 3$ and $H\subset\mat...
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic cu...