5 citations · 5 across the 8 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
Six-Functor Formalisms III: The construction and extension of 6FFs
Chirantan Chowdhury
This article is the last of the series of articles where we reprove the foundational ideas of abstract six-functor formalisms developed by Liu-Zheng. We prove the theorem of partia…
Six-Functor Formalisms II : The -categorical compactification
Chirantan Chowdhury
This paper is part of a series of articles in which we reproduce the statements regarding the abstract six-functor formalism developed by Liu-Zheng. In this paper, we prove a theor…
Non-representable six-functor formalisms
Chirantan Chowdhury, Alessandro D'Angelo
In this article, we study the properties of motivic homotopy category developed by Chowdhury and Khan-Ravi for a Nis-…
The chow weight structure for geometric motives of quotient stacks
Dhyan Aranha, Chirantan Chowdhury
We construct the Chow weight structure on the derived category of geometric motives with arbitrary coefficients for X a finite type scheme over a field characteristic 0 and G an af…
Six-Functor Formalisms I : Constructing functors using category of simplices
Chirantan Chowdhury
This article is first in a series of papers where we reprove the statements in constructing the Enhanced Operation Map and the abstract six-functor formalism developed by Liu-Zheng…
Motivic Homotopy Theory of Algebraic Stacks
Chirantan Chowdhury
The aim of this paper is to extend the definition of motivic homotopy theory from schemes to a large class of algebraic stacks and establish a six functor formalism. The class of a…