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math.AG2026
Fundamental groups of proper algebraic stacks are finitely presented
Chirantan Chowdhury, Ludvig Modin
Lara, Srinivas and Stix showed that the étale fundamental group of a proper scheme over an algebraically closed field is topologically finitely presented. Building on this, we show…
math.AG2026
Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity
Chirantan Chowdhury
In this article, we study two consequences of abstract six-functor formalisms. Firstly, we show that an abstract six-functor formalism can be extended to specific Ind- and Pro- cat…
math.AG2026
A characterization of ball quotient stacks
Chirantan Chowdhury, Matteo Costantini, Aryaman Patel
We characterize smooth proper Deligne-Mumford stacks that arise as compactifications of ball quotient stacks . Moreover, we show that every ball quo…