MATH Seminar
| Title: Principal homogeneous spaces and zero cycles of degree one |
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| Seminar: Algebra and number theory |
| Speaker: Jodi Black of Emory University |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2010-09-07 at 3:00PM |
| Venue: MSC E408 |
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| Abstract: Let $X$ be a principal homogeneous space under a connected linear algebraic group $G$ and over a field $k$. We show that for some of these groups $G$, if $X$ admits a zero cycle of degree one, then $X$ has a $k$-rational point. This gives a positive answer for these groups to a question posed by Serre. |
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