Abstract
Introduction. Let X be a smooth projective curve of genus g > 2 and Md(n, L) the moduli space of semi-stable bundles E of rank n and degree d, with det(E) z L. When (n, d) = 1 the variety Md(n, L) is smooth projective. For these varieties a theorem of Narasimhan and Ramanan [NR2] states that the number of moduli of Md(n, L) is the same as that of the curve X. The purpose of this paper is to prove this statement for the smooth compactification N, constructed by Seshadri in [S2], of Mo(2, Ox)s, (the moduli space of stable bundles, over a curve X of genus g > 5). More precisely, we prove the following
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.