107 citations · 407 across the 33 of their papers we have counts for
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math.AG2019★ 22 cited
The étale local structure of algebraic stacks
Jarod Alper, Jack Hall, David Rydh
We prove that an algebraic stack with affine stabilizers over an arbitrary base is étale-locally a quotient stack around any point with a linearly reductive stabilizer. This genera…
math.AG2019★ 45 cited
Reductivity of the automorphism group of K-polystable Fano varieties
Jarod Alper, Harold Blum, Daniel Halpern-Leistner +1
We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness a…
math.AG2019
Cartan-Iwahori-Matsumoto decompositions for reductive groups
Jarod Alper, Daniel Halpern-Leistner, Jochen Heinloth
We provide a short and self-contained argument for the existence of Cartan-Iwahori-Matsumoto decompositions for reductive groups.