2 citations · 2 across the 5 of their papers we have counts for
7 papers
The Hasse norm principle for -quartic extensions of global function fields
Anand Deopurkar, Rachel Newton, Vaidehee Thatte +1
For a finite extension of global fields , the norm map extends to a map on idèle groups. The Hasse norm principle holds if every element of $…
Degree Extensions of Arbitrary Valuation Rings and "Best "
Vaidehee Thatte
We prove the explicit characterization of the so-called "best f" for degree Artin-Schreier and degree Kummer extensions of Henselian valuation rings in residue characterist…
An explicit self-duality
Nikolas Kuhn, Devlin Mallory, Vaidehee Thatte +1
We provide an exposition of the canonical self-duality associated to a presentation of a finite, flat, complete intersection over a Noetherian ring, following work of Scheja and St…
Local Oort groups and the isolated differential data criterion
Huy Dang, Soumyadip Das, Kostas Karagiannis +2
It is conjectured that if k is an algebraically closed field of characteristic p > 0, then any branched G-cover of smooth projective k-curves where the "KGB" obstruction vanishes a…
Upper Ramification Groups for Arbitrary Valuation Rings
Kazuya Kato, Vaidehee Thatte
T. Saito established a ramification theory for ring extensions locally of complete intersection. We show that for a Henselian valuation ring with field of fractions and for…
Ramification theory for degree extensions of arbitrary valuation rings in mixed characteristic
Vaidehee Thatte
We previously obtained a generalization and refinement of results about the ramification theory of Artin-Schreier extensions of discretely valued fields in characteristic with…
Ramification Theory for Artin-Schreier Extensions of Valuation Rings
Vaidehee Thatte
The goal of this paper is to generalize and refine the classical ramification theory of complete discrete valuation rings to more general valuation rings, in the case of Artin-Schr…