Jack Hall

activity

20102026

most citedA Luna étale slice theorem for algebraic stacks

107 citations · 334 across the 22 of their papers we have counts for

collaborators

24 papers

math.AG2026

Finiteness theorems for pseudo-coherent complexes on algebraic stacks

Jack Hall, Oliver Li

Let $f : X \to Y$ be a proper and tame morphism of algebraic stacks, where $X$ and $Y$ are locally of finite type over an algebraic stack $S$ . We prove that $R f_{*}$ sends compl…

math.AG2024

A generalized Bondal-Orlov full faithfulness criterion for Deligne-Mumford stacks

Jack Hall, Kyle Priver

Let $X$ , $Y$ be smooth projective varieties over $C$ . Let $K$ be a bounded complex of coherent sheaves on $X \times Y$ and let $Φ_K \colon \mathsf{D}^b_{\mathsf{Coh}}(X) \t…

math.AG2023

Coherently complete algebraic stacks in positive characteristic

Jarod Alper, Jack Hall, David Benjamin Lim

With the long-term goal of proving local structure theorems of algebraic stacks in positive characteristic near points with reductive (but possibly non-linearly reductive) stabiliz…

math.AG2022

Further remarks on derived categories of algebraic stacks

Jack Hall

Let $X$ be an algebraic stack with quasi-affine diagonal of finite type over a field $k$ of characteristic $0$ . We extend the well-known equivalence $\mathsf{D}^+(\mathsf{QCoh}(X))…

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.AG2021

Unipotent morphisms

Daniel Bragg, Jack Hall, Siddharth Mathur

We introduce the theory of unipotent morphisms of algebraic stacks and prove a surprising local to global principle for a class of vector bundles. Two sample applications of our me…