Saurabh Gosavi

activity

20152023

most citedGeneralized period-index problem with an application to quadratic forms

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2023

A comparison of finiteness conditions in quadratic form theory

Karim Johannes Becher, Saurabh Gosavi

We discuss and relate finiteness conditions for certain field invariants which are studied in quadratic form theory. This includes the $u$ -invariant, the reduced stability index an…

math.NT2021

Galois Cohomology of Function Fields of Curves over Non-archimedean Local Fields

Saurabh Gosavi

Let $F$ be the function field of a curve over a non-archimedean local field. Let $m \geq 2$ be an integer coprime to the characteristic of the residue field of the local field. In…

math.RA2019★ 1 cited

Generalized period-index problem with an application to quadratic forms

Saurabh Gosavi

Let $F$ be the function field of a curve over a complete discretely valued field. Let $ℓ$ be a prime not equal to the characteristic of the residue field. Given a finite subgrou…

math.AC2015★ 1 cited

The number of atoms in an atomic domain

Pete L. Clark, Saurabh Gosavi, Paul Pollack

We study the number of atoms and maximal ideals in an atomic domain with finitely many atoms and no prime elements. We show in particular that for all $m, n \in Z^{+}$ with $…