A note on the existence of stable vector bundles on Enriques surfaces

• Howard Nuer ^[1]
  1. [1] Rutgers University

     Rutgers University

     City of New Brunswick, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 3, 2016, págs. 1117-1156
• Idioma: inglés
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• Resumen

  • We prove the non-emptiness and irreducibility of MH(v,L)MH(v,L) , the moduli space of Gieseker semistable sheaves on an unnodal Enriques surface Y with primitive Mukai vector v of positive rank and determinant L with respect to a generic polarization H. This completes the chain of progress initiated by Kim (Nagoya Math J 150:85–94, 1998). We also show that the stable locus MsH(v)≠∅MHs(v)≠∅ for non-primitive v with v2>0v2>0 .