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math.AG2023
Oriented embedding functors of tori as homogeneous spaces
Philippe Gille, Ting-Yu Lee
We provide a characterization of homogeneous spaces under a reductive group scheme such that the geometric stabilizers are maximal tori. The quasi-split case over a semilocal base…
math.AG2023
A local-global principle for twisted flag varieties
Philippe Gille, Raman Parimala
We prove a local-global principle for twisted flag varieties over a semiglobal field.
math.AG2023
Loop group schemes and Abhyankar's lemma
Philippe Gille
We define the notion of reductive group schemes defined over the localization of a regular henselian ring A at a strict normal crossing divisor . We provide a criterion for the…