Motivic decomposition of isotropic projective homogeneous varieties

By V. Chernousov, Stefan Gille, Alexander S. Merkurjev. 2005

131 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a0bc8392d7929ea5824bb1b4cf6f73f159c4b97d

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. V. Chernousov
4. R. Elman
5. B. Totaro
6. A. Vishik

In Mathematical Physics

1. N. Karpenko
2. Alexander S. Merkurjev
3. V. Chernousov
4. R. Elman
5. Skip Garibaldi
6. A. Vishik

Citations in the corpus

• Canonical p-dimension of algebraic groups (2006, unknown): “, [2]), therefore CH(G/P ) = CH(G/P ).”
• Essential dimension: a survey (2013, background): “Every projective homogeneous variety under an action of a semisimple algebraic group is geometrically split and satisfies the nilpotence principle (see [13]).”
• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties (2009, background): “Any projective homogeneous (under an action of a semisimple affine algebraic group) variety is geometrically split and satisfies the nilpotence principle, [7].”
• The Algebraic and Geometric Theory of Quadratic Forms (2008, background): “The more general case of a projective homogeneous variety was done in [25].”
• Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem (2006, background): “1, the category M(G, R) is equivalent to M(G, R)qs and therefore to Inv(RΓF ) N by (5).”