11 citations · 21 across the 3 of their papers we have counts for
6 papers · 1 filter
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts
Jarod Alper, Daniel Halpern-Leistner, Jack Hall +1
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of étale, smooth, or syntomic neighborhoods of closed…
On properness of K-moduli spaces and optimal degenerations of Fano varieties
Harold Blum, Daniel Halpern-Leistner, Yuchen Liu +1
We establish an algebraic approach to prove the properness of moduli spaces of K-polystable Fano varieties and reduce the problem to a conjecture on destabilizations of K-unstable…
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…
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.
Tannaka duality revisited
Bhargav Bhatt, Daniel Halpern-Leistner
We establish several strengthened versions of Lurie's Tannaka duality theorem for certain classes of spectral algebraic stacks. Our most general version of Tannaka duality identifi…
Remarks on Theta-stratifications and derived categories
Daniel Halpern-Leistner
This note extends some recent results on the derived category of a geometric invariant theory quotient to the setting of derived algebraic geometry. Our main result is a structure…