3 citations · 11 across the 17 of their papers we have counts for
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The first and second homotopy groups of a homogeneous space of a complex linear algebraic group
Mikhail Borovoi
Let be a homogeneous space of a connected linear algebraic group defined over the field of complex numbers . Let be a point. We denote by $…
Real points in a homogeneous space of a real algebraic group
Mikhail Borovoi
Let G be a linear algebraic group over the field of real numbers R, and let Y be a right homogeneous space of G. We wish to find a real point of Y or to prove that Y has no real po…
Taking quotient by a unipotent group induces a homotopy equivalence
Mikhail Borovoi, Andrei Gornitskii
Let U be a unipotent group over the field of complex numbers C, acting on a complex algebraic variety X. Assume that there exists a surjective morphism of complex algebraic varieti…
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…
Hasse principle for Rost motives
Mikhail Borovoi, Nikita Semenov, Maksim Zhykhovich
We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of R…