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math.AG2022
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…
math.AG2022★ 1 cited
Full exceptional collections of vector bundles on rank-two linear GIT quotients
Daniel Halpern-Leistner, Kimoi Kemboi
We produce full strong exceptional collections consisting of vector bundles on the geometric invariant theory quotient of certain linear actions of a split reductive group of r…