3 papers
math.NT2026
Totally positive field extensions and the pythagorean index
Priyabrata Mandal, Preeti Raman, Abhay Soman
For a formally real field , we study totally positive field extensions over . We show that, if is Galois and totally positive then so is the corresponding extensio…
math.AG2026
The Serre-Swan Theorem in supergeometry
Archana S. Morye, Abhay Soman, V. Devichandrika
We show the analogue of the Serre-Swan theorem in a context of supergeometry. This theorem gives an equivalence of the category of locally free supersheaves of bounded rank over lo…
math.RA2025
Weak isotropy of central simple algebras with orthogonal involutions over totally positive field extensions
Priyabrata Mandal, Abhay Soman
In this paper, we explore the behavior of orthogonal involutions in the context of totally positive field extensions. Let be a totally positive extension of formally real fie…