On the derived category of the Hilbert scheme of points on an Enriques surface

• Andreas Krug ^[1] ; Pawel Sosna ^[2]
  1. [1] University of Warwick

     University of Warwick

     Reino Unido

     
  2. [2] University of Hamburg

     University of Hamburg

     Hamburg, Freie und Hansestadt, Alemania

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 21, Nº. 4, 2015, págs. 1339-1360
• Idioma: inglés
• DOI: 10.1007/s00029-015-0178-x
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• Resumen

  • We use semi-orthogonal decompositions to construct autoequivalences of Hilbert schemes of points on Enriques surfaces and of Calabi–Yau varieties which cover them. While doing this, we show that the derived category of a surface whose irregularity and geometric genus vanish embeds into the derived category of its Hilbert scheme of points.