arXiv subjects

Ursashi Roy

Publications and source records attributed to Ursashi Roy.

2 recordsLinked to original sources

arXiv2023

A Classification of First Order Differential Equations

Let $k$ be a differential field of characteristic zero with an algebraically closed field of constants. In this article, we provide a classification of first order differential equations over $k$ and study the algebraic dependence of solutions of a given first order differential equation. Our results generalize parts of the work of Noordman et al. (MR4378074) and complements the work of Freitag et al. (MR4506775).

math.AG↗

arXiv2021

A Note on Liouvillian Picard-Vessiot Extensions

In this paper, we prove a new characterization theorem for Picard-Vessiot extensions whose differential Galois groups have solvable identity components.

math.AC↗