Seshadri constants on hyperelliptic surfaces
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- by Krishna Hanumanthu and Praveen Kumar Roy PDF
- Proc. Amer. Math. Soc. 146 (2018), 4175-4187 Request permission
Abstract:
We prove new results on single point Seshadri constants for ample line bundles on hyperelliptic surfaces, motivated by the results of Farnik [Arch. Math. 107 (2016), pp. 227–237]. Given a hyperelliptic surface $X$ and an ample line bundle $L$ on $X$, we show that the least Seshadri constant $\varepsilon (L)$ of $L$ is a rational number when $X$ is not of type 6. We also prove new lower bounds for the Seshadri constant $\varepsilon (L,1)$ of $L$ at a very general point.References
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Additional Information
- Krishna Hanumanthu
- Affiliation: Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam 603103, India
- MR Author ID: 859328
- Email: krishna@cmi.ac.in
- Praveen Kumar Roy
- Affiliation: Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam 603103, India
- Email: praveenkroy@cmi.ac.in
- Received by editor(s): November 7, 2017
- Received by editor(s) in revised form: January 31, 2018
- Published electronically: July 5, 2018
- Additional Notes: The authors were partially supported by a grant from Infosys Foundation
- Communicated by: Lev Borisov
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4175-4187
- MSC (2010): Primary 14C20
- DOI: https://doi.org/10.1090/proc/14114
- MathSciNet review: 3834648