Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
Articolo
Data di Pubblicazione:
2020
Citazione:
Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic / K. Honigs, L. Lombardi, S. Tirabassi. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 295:1-2(2020 Jun), pp. 727-749. [10.1007/s00209-019-02362-1]
Abstract:
We prove that any Fourier–Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Gieseker-stable sheaves. We apply this fact to show that the set of Fourier–Mukai partners of a canonical cover of a hyperelliptic or Enriques surface over an algebraically closed field of characteristic greater than three is trivial. These results extend earlier results of Bridgeland–Maciocia and Sosna to positive characteristic.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Derived categories, positive characteristic, bielliptic surfaces
Elenco autori:
K. Honigs, L. Lombardi, S. Tirabassi
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