Abstract
Numerically positive line bundles on a complex projective smooth algebraic surfaceS are studied. In particular for any such line bundleL ∈ Pic(S) we prove the following facts: (i)g(L) ≥ 0 and (ii)L is ample ifg(L) ≤ 1,g standing for the arithmetic genus. Some applications are discussed. We also investigate numerically positive non-ample line bundlesL withg(L)=2.
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.
