Orbit Closures of the Witt Group Actions
- Autores: Popov V.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 307, Nº 1 (2019)
- Páginas: 193-197
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175947
- DOI: https://doi.org/10.1134/S0081543819060117
- ID: 175947
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Resumo
We prove that for any prime p there exists an algebraic action of the two-dimensional Witt group W2 (p) on an algebraic variety X such that the closure in X of the W2(p)-orbit of some point x ∈ X contains infinitely many W2(p)-orbits. This is related to the problem of extending, from the case of characteristic zero to the case of characteristic p, the classification of connected affine algebraic groups G such that every algebraic G-variety with a dense open G-orbit contains only finitely many G-orbits.
Sobre autores
Vladimir Popov
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: popovvl@mi-ras.ru
Rússia, ul. Gubkina 8, Moscow, 119991