Nikita A. Karpenko and Alexander S. Merkurjev: Canonical p-dimension of algebraic groups

karpenko@euler.univ-artois.fr, merkurjev@math.ucla.edu

Submission: 2004, Dec 9

We describe a way to compute the $p$-relative version of the Berhuy-Reichstein canonical dimension for an arbitrary split semisimple algebraic group over an arbitrary field of an arbitrary characteristic ($p$ is any prime integer). The canonical $p$-dimension is computed for all split simple groups of classical types.

2000 Mathematics Subject Classification: 14L17, 14C25

Keywords and Phrases: Algebraic groups, torsors, splitting fields, projective homogeneous varieties, Chow groups

Full text: dvi.gz 46 k, dvi 112 k, ps.gz 958 k, pdf.gz 247 k, pdf 281 k.


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