3 papers
math.CA2026
A note on internality of certain differential systems
Partha Kumbhakar, Varadharaj Ravi Srinivasan
We prove two results, generalizing certain theorems by Jin and Moosa, on the internality of the system of differential equations \begin{equation*} \begin{aligned} x' &= f(x)\\ y' &…
math.AG2025
New and General Type Meromorphic -forms on Curves
Partha Kumbhakar
In this article, we study the existence of new and general type meromorphic -forms on curves through explicit construction. Specifically, we have constructed a large family of n…
math.AC2025
Strongly Normal Extensions and Algebraic Differential Equations
Partha Kumbhakar, Varadharaj Ravi Srinivasan
Let be a differential field having an algebraically closed field of constants, be a strongly normal extension of , and be the algebraic closure of in We p…