Amit Kumar Singh

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math.AG2025

Exploring the interplay of semistable vector bundles and their restrictions on reducible curves

Suhas B. N., Praveen Kumar Roy, Amit Kumar Singh

Let $C$ be a comb-like curve over $C$ , and $E$ be a vector bundle of rank $n$ on $C$ . In this paper, we investigate the criteria for the semistability of the restriction o…

math.AG2024

Seshadri constants on blow-ups of Hirzebruch surfaces

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

Let $e, r \geq 0$ be integers and let $F_{e} := P (O_{P^{1}} \oplus O_{P^{1}} (- e))$ denote the Hirzebruch surface with invariant $e$ …