Adjoint groups over ${\mathbb Q}_p (X)$ and R-equivalence - revisited
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- by R. Preeti and A. Soman PDF
- Proc. Amer. Math. Soc. 145 (2017), 1019-1029 Request permission
Abstract:
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., $G(F)/R=(1)$.References
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Additional Information
- R. Preeti
- Affiliation: Department of Mathematics, Indian Institute of Technology (Bombay), Powai, Mumbai-400076, India
- MR Author ID: 659319
- Email: preeti@math.iitb.ac.in
- A. Soman
- Affiliation: Department of Mathematical Sciences, Indian Institute of Science Education and Research, Mohali, Sector 81, SAS Nagar, Manauli, Punjab-140306, India
- MR Author ID: 1111912
- Email: somanabhay@iisermohali.ac.in
- Received by editor(s): April 30, 2016
- Received by editor(s) in revised form: May 12, 2016
- Published electronically: September 15, 2016
- Communicated by: Ken Ono
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1019-1029
- MSC (2010): Primary 11Sxx; Secondary 20G99
- DOI: https://doi.org/10.1090/proc/13304
- MathSciNet review: 3589302