Niladri Patra

collaborators

4 papers

math.AG2026

Compressive Domains and a Bound for the Number of Components of the Fixed Locus of a Self-Map of the Berkovich Line

Xander Faber, Niladri Patra

We introduce the notion of a "compressive domain" for the action of a rational function on the Berkovich projective line over a complete nontrivially-valued algebraically closed no…

math.AG2026

Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line

Xander Faber, Niladri Patra

We describe the local and global structure of the fixed locus for the action of a rational function on the Berkovich projective line over a complete nontrivially-valued algebraical…

math.AG2025

Descent problem for certificate of non-negativity on semi-algebraic sets

Manoj K. Keshari, Debapriya Ojha, Niladri Sekhar Patra

Let $F$ be a subfield of $R$ and let $K$ be a basic closed semi-algebraic set in $R$ with $\partial K \subset F$ . Let $N$ be the natural choice of generator…

math.DS2025

Connected components of Berkovich fixed locus: Potential good reduction

Niladri Patra

Let $\mathbbm{P}^{1,an}$ be the Berkovich projective line over a complete, algebraically closed, non-Archimedean field. Let $ϕ$ be a degree $\geq 2$ rational map with potential goo…