3 papers
math.NT2026
On the Vanishing of the Brauer-Manin Obstruction for Normic Bundles
Mridul Biswas, Divyasree C-Ramachandran, Biswanath Samanta
We study the behaviour of the Brauer--Manin obstruction to the existence of rational points under finite field extensions. For -normic bundles over number fields, we prove…
math.NT2026
Pullback Method with Applications to Severi--Brauer Fibrations
Mridul Biswas, Divyasree C Ramachandran, Biswanath Samanta
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 poi…
math.NT2026
A universal construction of -typical Witt vectors of associative rings
Supriya Pisolkar, Biswanath Samanta
For a prime and an associative ring with unity, there are various constructions of -typical Witt vectors of , all of which specialize to the classical -typical Wit…