7 papers
Complete homogeneous varieties over a field
Michel Brion, Matilde Maccan, Srinivasan Srimathy
The main objects of this paper are complete homogeneous varieties under the action of a semisimple group over field of characteristic . When the isotropy groups of the…
Which numbers are -invariants of perfectoid fields?
Eknath Ghate, Srinivasan Srimathy
Let be a prime. We determine the set of numbers that occur as the -invariant of perfectoid subfields of . Given any number that is the -invariant of a…
On Milnor -theory in the imperfect residue case and applications to period-index problems
Srinivasan Srimathy
Given a -mixed characteristic complete discrete valued field we define a class of finite field extensions called \emph{pseudo-perfect} extensions such that the…
Artin-Schreier-Witt lifts of purely inseparable extensions
S. Srimathy
Given a discrete valued field of positive characteristic, we study the cyclic lifting problem of purely inseparable extensions of the residue field. We prove that unlike the mi…
Totally ramified subfields of -algebras over discrete valued fields with imperfect residue
S. Srimathy
Let be a complete discrete valued field of characteristic with residue which is not necessarily perfect. We prove the Conjecture in \cite{cs} that a -algebra over $K…
Totally ramified subfields of -Algebras
Adam Chapman, S. Srimathy
We conjecture that a -algebra over a complete discrete valued field contains a totally ramified purely inseparable subfield if and only if it contains a totally ramified cyc…
The genus of division algebras over discrete valued fields
S. Srimathy
Given a field with a set of discrete valuations , we show how the genus of a division algebra over the field is related to the genus of the residue algebras at various valuation…