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Essential dimension of algebraic tori.
- Source :
- Journal für die Reine und Angewandte Mathematik; Apr2013, Vol. 2013 Issue 677, p1-13, 13p
- Publication Year :
- 2013
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2013
- Issue :
- 677
- Database :
- Complementary Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 86449133
- Full Text :
- https://doi.org/10.1515/crelle.2012.010