arXiv subjects

Divyasree C Ramachandran

Publications and source records attributed to Divyasree C Ramachandran.

2 recordsLinked to original sources

arXiv2026

Pullback Method with Applications to Severi--Brauer Fibrations

Given a variety with a suitable Brauer class, we present a general pullback construction that produces varieties that has Brauer--Manin obstruction to the existence of rational points. We then study Severi--Brauer fibrations and their Brauer groups without relying on explicit defining equations. As a key application, we show that there exist Severi--Brauer fibrations with index one that fails Hasse principle.

math.NT↗

arXiv2025

A geometric perspective on Amitsur's conjecture

Roquette proved Amitsur's conjecture for Severi-Brauer varieties associated with cyclic algebras using algebraic methods. We present a geometric proof of Roquette's result, providing simple and explicit birational isomorphisms.

math.AG↗