activity
20132018
collaborators

6 papers

math.RA2018

Reduced Whitehead groups of prime exponent algebras over p-adic curves

Nivedita Bhaskhar

Let F be the function field of a curve over a p-adic field. Let D/F be a central division algebra of prime exponent which is different from p. Assume that F contains a primi…

math.GR2017

The norm principle for type groups over complete discretely valued fields

Nivedita Bhaskhar, Vladimir Chernousov, Alexander Merkurjev

Let be a complete discretely valued field with residue field with . Assuming that the norm principle holds for extended Clifford groups for e…

math.NT2016

Brauer p-dimension of complete discretely valued fields

Nivedita Bhaskhar, Bastian Haase

Let K be a complete discretely valued field of characteristic 0 with residue field k of characteristic p. Let n=[k:k^p] be the p-rank of k. It was proved by Parimala and Suresh tha…

math.AG2015

On Serre's injectivity question and norm principle

Nivedita Bhaskhar

Let be a field of characteristic not . We give a positive answer to Serre's injectivity question for any smooth connected reductive -group whose Dynkin diagram contains c…

math.RA2013

More Examples of Non-Rational Adjoint Groups

Nivedita Bhaskhar

We give a recursive construction to produce examples of quadratic forms q_n in the n-th power of the fundamental ideal in the Witt ring whose corresponding adjoint groups PSO(q_n)…

math.NT2013

Hasse Principle for G-quadratic forms

Eva Bayer-Fluckiger, Nivedita Bhaskhar, Raman Parimala

Let k be a global field of characteristic not 2. The classical Hasse-Minkowski theorem states that if two quadratic forms become isomorphic over all the completions of k, then they…