On motivic decompositions arising from the method of Białynicki-Birula
By P. Brosnan. 2004
92 citations recorded by the source corpus.
Recently, V. Chernousov, S. Gille and A. Merkurjev have obtained a decomposition of the motive of an isotropic smooth projective homogeneous variety analogous to the Bruhat decomposition. Using the method of A. Białynicki-Birula and a corollary, which is essentially due to S. del Baño, I generalize this decomposition to the case of a (possibly anisotropic) smooth projective variety homogeneous under the action of an isotropic reductive group. This answers a question of N. Karpenko.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9ed424b6bd340de82846fc63c894577a63e6ca5f
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In Geometry and Topology
- A. Okounkov
- N. Karpenko
- R. Pandharipande
- Davesh Maulik
- Paul D. Johnson
- Alexander S. Merkurjev
- Marcos Mariño
- Maryam Mirzakhani
In Mathematical Physics
- A. Okounkov
- N. Karpenko
- R. Pandharipande
- C. Vafa
- Alexander S. Merkurjev
- N. Nekrasov
- Davesh Maulik
- Maryam Mirzakhani
Citations in the corpus
- Lectures on K-theoretic computations in enumerative geometry (2015, background): “where plus denotes the subbundle spanned by vectors of positive z-weight, see for example [14] for a recent discussion.”
- Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties (2009, background): “According to [4], the motive of XL decomposes into a sum of shifts of motives of products of projective G-homogeneous L-varieties.”