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Exceptional sequences and derived autoequivalences
Alberto Canonaco
We prove a general theorem that gives a non trivial relation in the group of derived autoequivalences of a variety (or stack) X, under the assumption that there exists a suitable f…
The Beilinson complex and canonical rings of irregular surfaces
Alberto Canonaco
In the first part of the paper Beilinson's theorem on the bounded derived category of coherent sheaves on P^n is extended to weighted projective spaces in a rather explicit form. T…
Derived autoequivalences and a weighted Beilinson resolution
Alberto Canonaco, Robert L. Karp
Given a smooth stacky Calabi-Yau hypersurface X in a weighted projective space, we consider the functor G which is the composition of the following two autoequivalences of D^b(X):…
Twisted Fourier-Mukai functors
Alberto Canonaco, Paolo Stellari
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. We…