Praveen Kumar Roy

collaborators

3 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.AG2024

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.AG2024

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…