Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Essential dimension of algebraic tori
AU - Lötscher, Roland
AU - MacDonald, Mark
AU - Meyer, Aurel
AU - Reichstein, Zinovy
PY - 2013/4
Y1 - 2013/4
N2 - The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkurjev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups, which includes all algebraic tori.
AB - The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkurjev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups, which includes all algebraic tori.
U2 - 10.1515/crelle.2012.010
DO - 10.1515/crelle.2012.010
M3 - Journal article
VL - 677
SP - 1
EP - 13
JO - Journal für die reine und angewandte Mathematik (Crelle's Journal)
JF - Journal für die reine und angewandte Mathematik (Crelle's Journal)
SN - 0075-4102
ER -