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- W2964264218 abstract "Let G be a connected linear algebraic group over an algebraically closed field k, and let H be a connected closed subgroup of G. We prove that the homogeneous variety G/H is a rational variety over k whenever H is solvable, or when dim(G/H) < 11 and characteristic(k) = 0. When H is of maximal rank in G, we also prove that G/H is rational if the maximal semisimple quotient of G is isogenous to a product of almost-simple groups of type A, type C (when characteristic(k) is not 2), or type B_3 or G_2 (when characteristic(k) = 0)." @default.
- W2964264218 created "2019-07-30" @default.
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- W2964264218 date "2016-04-15" @default.
- W2964264218 modified "2023-10-15" @default.
- W2964264218 title "Rationality of homogeneous varieties" @default.
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- W2964264218 doi "https://doi.org/10.1090/tran/6728" @default.
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