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Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
Stockholm University, Faculty of Science, Department of Mathematics. University of Bergen. (Algebra and Geometry)ORCID iD: 0000-0003-3781-4895
2019 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, E-ISSN 1432-1823Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2019.
National Category
Geometry
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URN: urn:nbn:se:su:diva-172132DOI: 10.1007/s00209-019-02362-1OAI: oai:DiVA.org:su-172132DiVA, id: diva2:1344868
Available from: 2019-08-22 Created: 2019-08-22 Last updated: 2019-08-22Bibliographically approved

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Publisher's full texthttps://link.springer.com/article/10.1007/s00209-019-02362-1#citeas

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CiteExportLink to record
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Citation style
  • apa
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  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
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Output format
  • html
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