Positivity on Blow-up of hyperelliptic surfaces

Roy, P.K. (2026) Positivity on Blow-up of hyperelliptic surfaces. In: Proceedings of the Indian Academy of Sciences: Mathematical Sciences.

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Abstract

Let Xr denote the blow-up of the hyperelliptic surface X at r very general points. In this paper, we first provide a criterion for the ampleness of a line bundle on Xr and compare it with existing results. We then study the multi-point Seshadri constants of ample line bundles on hyperelliptic surfaces X. Next, we compute single-point Seshadri constants on Xr for specific ample line bundles on odd types. Furthermore, we show that the global Seshadri constants for certain ample line bundles on blow-up of hyperelliptic surfaces are rational. © The Author(s), under exclusive licence to Indian Academy of Sciences 2026.

Item Type:	Conference or Workshop Item (Paper)
Authors:	Roy, P.K.
Document Language:	Language English
Uncontrolled Keywords:	Ampleness; Blow up; Hyperelliptic Surface; Rationality; Seshadri constants
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bhopal > Arts and Sciences
Full Text Status:	None
Related URLs:	DOI
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/7705
Publisher URL:	https://link.springer.com/

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