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Essential p-dimension of algebraic tori
- Publication Year :
- 2009
-
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 broader class of groups, which includes all algebraic tori.<br />Comment: 30 pages, no figures
- Subjects :
- Mathematics - Group Theory
20G15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0910.5574
- Document Type :
- Working Paper