Zero Cycles of Degree One on Principal Homogeneous Spaces

Details Zero Cycles of Degree One on Principal Homogeneous Spaces Zero Cycles of Degree One on Principal Homogeneous Spaces

2010-09-23

arxiv.org/abs/1009.4621v1

Mathematics

Number Theory

Scientific paper

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 $E_8$ and such that every exceptional simple factor of type other than $G_2$ is quasisplit. We show that if a principal homogeneous space under $G$ over $k$ admits a zero cycle of degree 1 then it has a $k$-rational point.

Affiliated with

Also associated with

No associations

Rating

Zero Cycles of Degree One on Principal Homogeneous Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zero Cycles of Degree One on Principal Homogeneous Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero Cycles of Degree One on Principal Homogeneous Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-339012