Derived Equivalences of Smooth Stacks and Orbifold Hodge Numbers
نویسندگان
چکیده
An important step in the development of the parallelism between derived equivalences and the minimal model program, as emphasized especially in the work of Kawamata (see [Kaw09] for a survey), is to extend results about smooth projective Fourier-Mukai partners to the singular case. While in general there are foundational issues still to be resolved, good progress has been made in the case of varieties with quotient singularities X, where the natural object to consider is the bounded derived category of coherent sheaves D(X ) := D(Coh(X )) on the associated canonical smooth Deligne-Mumford stack X [Kaw02a], [Kaw04]. The main result of this paper is an addition in this direction, regarding the behavior of the orbifold cohomology and Picard variety.
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