Jodi Black

collaborators

3 papers

math.NT2013

Involutions, odd-degree extensions and generic splitting

Jodi Black, Anne Quéguiner-Mathieu

Let $q$ be a quadratic form over a field $F$ and let $L$ be a field extension of $F$ of odd degree. It is a classical result that if $q_{L}$ is isotropic (resp. hyperbolic) then $q$ …

math.NT2010

Implications of the Hasse Principle for Zero Cycles of Degree One on Principal Homogeneous Spaces

Jodi Black

Let $k$ be a perfect field of virtual cohomological dimension $\leq 2$ . Let $G$ be a connected linear algebraic group over $k$ such that $G^{sc}$ satisfies a Hasse principle over $…

math.NT2010

Zero Cycles of Degree One on Principal Homogeneous Spaces

Jodi Black

Let $k$ be a field of characteristic different from 2. Let $G$ be a simply connected or adjoint semisimple algebraic $k$ -group which does not contain a simple factor of type $E_{8}$ …