S. Srimathy

activity

20242026

collaborators

3 papers

math.NT2026

Which numbers are $u$ -invariants of perfectoid fields?

Eknath Ghate, Srinivasan Srimathy

Let $p \neq = 2$ be a prime. We determine the set of numbers that occur as the $u$ -invariant of perfectoid subfields of $C_{p}$ . Given any number that is the $u$ -invariant of a…

math.NT2025

On Milnor $K$ -theory in the imperfect residue case and applications to period-index problems

Srinivasan Srimathy

Given a $(0, p)$ -mixed characteristic complete discrete valued field $K$ we define a class of finite field extensions called \emph{pseudo-perfect} extensions such that the…

math.NT2024

Artin-Schreier-Witt lifts of purely inseparable extensions

S. Srimathy

Given a discrete valued field $K$ of positive characteristic, we study the cyclic lifting problem of purely inseparable extensions of the residue field. We prove that unlike the mi…

Which numbers are u-invariants of perfectoid fields?

On Milnor K-theory in the imperfect residue case and applications to period-index problems

Artin-Schreier-Witt lifts of purely inseparable extensions

Which numbers are $u$ -invariants of perfectoid fields?

On Milnor $K$ -theory in the imperfect residue case and applications to period-index problems