arXiv subjects

R. Preeti

Publications and source records attributed to R. Preeti.

2 recordsLinked to original sources

arXiv2016

Local-global principle for reduced norms over function fields of p-adic curves

Let F be a function field in one variable over a p-adic field and D a central division algebra over F of degree n coprime to p. We prove that Suslin invariant detects whether an element in F is a reduced norm. This leads to a local-global principle for reduced norms with respect to all discrete valuations of F.

math.NT↗

arXiv2016

Adjoint groups over ${\mathbb Q}_p (X)$ and R-equivalence - revisited

We obtain a class of examples of non-rational adjoint classical groups of type $^2A_n$ and a group of type $^2D_3$ over the function field $F$ of a smooth geometrically integral curve over a $p$-adic field with $p \neq 2$. We also show that for any group of type $C_n$ over $F$, the group of rational equivalence classes of $G$ over $F$ is trivial, i.e., $G(F)/R=(1)$.

math.NT↗