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Existence of equivariant models of spherical varieties and other G-varieties
Mikhail Borovoi, Giuliano Gagliardi
Let be a field of characteristic with algebraic closure . Let be a connected reductive -group, and let be a spherical variety over (a spherical homogene…
Real structures on horospherical varieties
Lucy Moser-Jauslin, Ronan Terpereau, Mikhail Borovoi
We study the equivariant real structures on complex horospherical varieties, generalizing classical results known for toric varieties and flag varieties. In particular, we obtain a…
Existence of equivariant models of G-varieties
Mikhail Borovoi
Let k_0 be a field of characteristic 0, and let k be a fixed algebraic closure of k_0. Let G be an algebraic k-group, and let Y be a G-variety over k. Let G_0 be a k_0 -model (k_0…
Conjugation of semisimple subgroups over real number fields of bounded degree
Mikhail Borovoi, Christopher Daw, Jinbo Ren
Let be a linear algebraic group over a field of characteristic 0. We show that any two connected semisimple -subgroups of that are conjugate over an algebraic closur…