16 citations · 20 across the 3 of their papers we have counts for
8 papers
-objects and autoequivalences of derived categories
D. Huybrechts, R. P. Thomas
We describe new autoequivalences of derived categories of coherent sheaves arising from what we call -objects of the category. Standard examples arise from holomorphic…
The Brauer group of analytic K3 surfaces
Daniel Huybrechts, Stefan Schroeer
We show that for complex analytic K3 surfaces any torsion class in H^2(X,O_X^*) comes from an Azumaya algebra. In other words, the Brauer group equals the cohomological Brauer grou…
Moduli spaces of hyperkaehler manifolds and mirror symmetry
Daniel Huybrechts
These are notes of my lectures given at the school on intersection theory and moduli at the ICTP, Trieste. We construct moduli spaces of K3 surfaces and higherdimensional hyperkaeh…
Finiteness results for hyperkaehler manifolds
Daniel Huybrechts
In this short note we prove that the number of deformation types of compact hyperkaehler manifolds with prescribed second cohomology and second Chern class is finite. The proof use…
Erratum to the paper: Compact hyperkaehler manifolds: basic results
Daniel Huybrechts
This is an Erratum to the paper: Compact hyperkaehler manifolds: basic results. (alg-geom/9705025, Inv. math. 135). We give a correct proof of the projectivity criterion for hyperk…
Infinitesimal Variation of Harmonic Forms and Lefschetz Decomposition
Daniel Huybrechts
This paper studies the infinitesimal variation of the Lefschetz decomposition associated with a compatible sl_2-representation on a graded algebra. This allows to prove that the Jo…