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

Howard Nuer

• 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 .