activity
20082026
collaborators

26 papers

math.AG2026

Seshadri constants of Higgs Vector bundles

Krishna Hanumanthu, Snehajit Misra, Nabanita Ray

We define Seshadri constants for Higgs bundles on smooth projective varieties over algebraically closed fields of characteristic zero. This definition is inspired by and analogous…

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…

math.AG2024

Effective cone of a Grassmann bundle over a curve defined over

Indranil Biswas, Shripad M. Garge, Krishna Hanumanthu

Let be an irreducible smooth projective curve defined over and a vector bundle on of rank at least two. For any $1\, \leq\, r\, <\, {\rm rank}(…

math.AG2023

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.AG2023

Seshadri constants of curve configurations on surfaces

Krishna Hanumanthu, Praveen Kumar Roy, Aditya Subramaniam

Let be a complex nonsingular projective surface and let be an ample line bundle on . We study multi-point Seshadri constants of at singular points of certain arrange…

math.AG2023

Seshadri constants on some flag bundles

Krishna Hanumanthu, Jagadish Pine

Let be a smooth complex projective curve and let be a vector bundle on which is not semistable. We consider a flag bundle parametrizing certain…