Abstract
In this paper we study factoriality properties of some moduli spaces of semistable sheaves on abelian or projective K3 surface S. If v = 2w is a Mukai vector, w is primitive, w 2 = 2 and H is a generic polarization, let Mv(S,H) be the moduli space of H semistable sheaves on S with Mukai vector v. If S is abelian, we show that the fiber Kv(S,H) of the Albanese map of Mv(S,H) is 2 factorial. If S is K3, we show that Mv(S,H) is either locally factorial or 2 factorial, and we give an example of both cases.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
