Praveen Kumar Roy

activity

20192025

collaborators

4 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.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…