3 papers
math.NT2021
Four-dimensional quadratic forms over
Parul Gupta
For quadratic forms in variables defined over the rational function field in one variable over , the validity of the local-global principle for isotropy wit…
math.KT2020
Strong linkage for function fields of surfaces
Karim Johannes Becher, Parul Gupta
Over a global field any finite number of central simple algebras of exponent dividing is split by a common cyclic field extension of degree . We show that the same property…
math.AC2019
A ruled residue theorem for function fields of conics
Parul Gupta, Karim Johannes Becher
The ruled residue theorem characterises residue field extensions for valuations on a rational function field. Under the assumption that the characteristic of the residue field is d…