activity
20242026
collaborators

6 papers

math.AG2026

Linear systems on blow-ups of Hirzebruch surfaces

Cyril J. Jacob, Ronnie Sebastian

Motivated by various equivalent versions of the SHGH conjecture for blown up at very general points, we propose a similar conjecture for Hirzebruch surfaces. We prove…

math.AG2025

Lower bounds for Seshadri constants on blow ups of

Cyril J. Jacob

Let be a blow up of at distinct points . We study lower bounds for Seshadri constants of ample line bundles…

math.AG2025

Positivity of line bundles on general blow ups of Hirzebruch surfaces

Cyril J. Jacob, Bivas Khan

We investigate various positivity properties of line bundles on general blow ups of Hirzebruch surfaces motivated by \cite{Han}, where the author has studied general blow ups of $\…

math.AG2025

Seshadri constants and negative curves on blowups of ruled surfaces

Cyril J. Jacob, Bivas Khan, Ronnie Sebastian

In this article we compute Seshadri constants of ample line bundles on the blowup of Hirzebruch surface at very general points. Similarly, we comput…

math.AG2024

Seshadri constants on blow-ups of Hirzebruch surfaces

Krishna Hanumanthu, Cyril J. Jacob, Suhas B. N. +1

Let be integers and let denote the Hirzebruch surface with invariant …

math.AG2024

Rationality of Seshadri constants on blow-ups of ruled surfaces

Krishna Hanumanthu, Cyril J. Jacob, Suhas B. N. +1

In this note, we continue the study of Seshadri constants on blow-ups of Hirzebruch surfaces initiated in arXiv:2312.14555. Now we consider blow-ups of ruled surfaces more generall…