Praveen Kumar Roy

activity

20172025

most citedSeshadri constants on some blow-ups of projective spaces

1 citations · 1 across the 5 of their papers we have counts for

collaborators

8 papers

math.AG2025

Positivity on Blow-up of hyperelliptic surfaces

Praveen Kumar Roy

Let $X_{r}$ 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 $X_{r}$ an…

math.AG2023

Fundamental groups of highly symmetrical curves and Fermat line arrangments

Meirav Amram, Praveen Kumar Roy, Uriel Sinichkin

We showcase a computation of the fundamental group of $CP^{2} - C$ when $C$ is a curve admitting a lot of symmetries. In particular, let $C$ de…

math.AG2023

Seshadri constants of curve configurations on surfaces

Krishna Hanumanthu, Praveen Kumar Roy, Aditya Subramaniam

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

math.AG2023

The fundamental group of Galois covers of surfaces with octahedral envelope

Meirav Amram, Cheng Gong, Praveen Kumar Roy +2

We compute the fundamental group of the Galois cover of a surface of degree~ $8$ , with singularities of degree $4$ , whose degeneration envelope is isomorphic to an octahedron. The g…

math.AG2022

On the Rationality of moduli spaces of vector bundles over chain-like curves

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

Let $C$ be a chain-like curve over $C$ . In this paper, we investigate the rationality of moduli spaces of $w$ -semistable vector bundles on $C$ of arbitrary rank and fixed…

math.AG2021★ 1 cited

Seshadri constants on some blow-ups of projective spaces

Rupam Karmakar, Praveen Kumar Roy

Let $X_{r, s}^{n}$ denote the blow-up of $P^{n}$ along $r$ general lines and $s$ general points. In this paper, we focus on $l$ -very ample line bundles on $X_{0, s}^{n}$ and inves…

math.AG2019

Some Results on Seshadri constants on Surfaces of general type

Praveen Kumar Roy

We prove two new results for Seshadri constants on surfaces of general type. Let $X$ be a surface of general type. In the first part, inspired by \cite{B-S}, we list the possible v…

math.AG2017

Seshadri constants on hyperelliptic surfaces

Krishna Hanumanthu, Praveen Kumar Roy

We prove new results on single point Seshadri constants for ample line bundles on hyperelliptic surfaces. Given a hyperelliptic surface $X$ and an ample line bundle $L$ on $X$ , we…