S. Srimathy

collaborators

4 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.NT2025

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…

math.RA2025

Totally ramified subfields of $p$ -algebras over discrete valued fields with imperfect residue

S. Srimathy

Let $K$ be a complete discrete valued field of characteristic $p$ with residue $k$ which is not necessarily perfect. We prove the Conjecture in \cite{cs} that a $p$ -algebra over $K…

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

Totally ramified subfields of p-algebras over discrete valued fields with imperfect residue

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

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

Totally ramified subfields of $p$ -algebras over discrete valued fields with imperfect residue