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Multi-point Seshadri constants on ruled surfaces


Authors: Krishna Hanumanthu and Alapan Mukhopadhyay
Journal: Proc. Amer. Math. Soc. 145 (2017), 5145-5155
MSC (2010): Primary 14C20; Secondary 14H50
DOI: https://doi.org/10.1090/proc/13670
Published electronically: June 22, 2017
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Abstract: Let $ X$ be a surface and let $ L$ be an ample line bundle on $ X$. We first obtain a lower bound for the Seshadri constant $ \varepsilon (X,L,r)$, when $ r \ge 2$. We then assume that $ X$ is a ruled surface and study Seshadri constants on $ X$ in greater detail. We also make precise computations of Seshadri constants on $ X$ in some cases.


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Additional Information

Krishna Hanumanthu
Affiliation: Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam 603103, India
Email: krishna@cmi.ac.in

Alapan Mukhopadhyay
Affiliation: Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam 603103, India
Email: alapan@cmi.ac.in

DOI: https://doi.org/10.1090/proc/13670
Received by editor(s): October 28, 2016
Received by editor(s) in revised form: January 10, 2017
Published electronically: June 22, 2017
Additional Notes: The authors were partially supported by a grant from Infosys Foundation
Communicated by: Lev Borisov
Article copyright: © Copyright 2017 American Mathematical Society

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