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

作者：Nuer Howard^*

来源：Selecta Mathematica, New Series, 2016, 22(3): 1117-1156.

DOI：10.1007/s00029-015-0218-6

• Enriques surfaces
• Stable vector bundles
• Mumford-Thaddeus principle

We prove the non-emptiness and irreducibility of , 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 for non-primitive v with v(2) > 0.

• 出版日期2016-7
• 单位rutgers