7 citations · 9 across the 2 of their papers we have counts for
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Formal deformations and their categorical general fibre
Daniel Huybrechts, Emanuele Macri, Paolo Stellari
We study the general fibre of a formal deformation over the formal disk of a projective variety from the view point of abelian and derived categories. The abelian category of coher…
Infinitesimal Derived Torelli Theorem for K3 surfaces
Emanuele Macri, Paolo Stellari, Sukhendu Mehrotra
We prove that the first order deformations of two smooth projective K3 surfaces are derived equivalent under a Fourier--Mukai transform if and only if there exists a special isomet…
Stability conditions on curves
Emanuele Macri
We study some examples of Bridgeland-Douglas stability conditions on triangulated categories. From one side we give a complete description of the stability manifolds for smooth pro…
Inducing stability conditions
Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari
We study stability conditions induced by functors between triangulated categories. Given a finite group acting on a smooth projective variety we prove that the subset of invariant…
Automorphisms and autoequivalences of generic analytic K3 surfaces
Emanuele Macri, Paolo Stellari
This is a systematic exposition of recent results which completely describe the group of automorphisms and the group of autoequivalences of generic analytic K3 surfaces. These grou…
Some examples of spaces of stability conditions on derived categories
Emanuele Macri
We study stability conditions on the derived categories of coherent sheaves on some projective varieties. We give a complete description of the stability manifold for smooth projec…