Canonical p-dimension of algebraic groups

By N. Karpenko, Alexander S. Merkurjev. 2006

96 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/03b729011a9b951956df3f3d0b9ee3eac035bfe5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. N. Karpenko
2. Alexander S. Merkurjev
3. B. Totaro
4. A. Vishik

In Mathematical Physics

1. N. Karpenko
2. Alexander S. Merkurjev
3. Skip Garibaldi
4. A. Vishik

Citations in the corpus

• Essential dimension: a survey (2013, methodology): “The canonical p-dimension of split semisimple groups was computed in [46] (classical groups) and [103] (exceptional groups).”
• Essential dimension of finite p-groups (2008, background): “[3], [11]) Let F be a field and C a class of field extensions of F.”
• On standard norm varieties (2012, background): “It is also surjective in codimension = (pn − 1)/(p − 1) for a given Y provided that sF (ζ) 6= 0 for each generic point ζ ∈ Y .”
• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties (2009, background): “We refer to [15] and [17] for proofs of the statements cited below.”