6 papers
Height 1 Group Schemes and Prismatic F-Gauges
Shubhodip Mondal, Martin Olsson
We describe the prismatic F-gauge associated to a finite flat height one group scheme over a smooth variety of positive characteristic. As applications, we derive the description o…
Artin--Mazur formal groups and Milne duality via unipotent spectra
Shubhodip Mondal, Tasos Moulinos, Lucy Yang
We introduce and develop the notion of "unipotent spectra." This is defined to be the stabilization of Toën's category of affine stacks, and is related to recent work of Mondal--Re…
Perfect -gauges and finite flat group schemes
Keerthi Madapusi, Shubhodip Mondal
We show an equivalence of categories, over general -adic bases, between finite locally -torsion commutative group schemes and $\Int/p^n\Int$-modules in perfect -gauges o…
Dieudonné theory via classifying stacks and prismatic -gauges
Shubhodip Mondal
In this paper, we apply stack theoretic ideas to the classification problem in Dieudonné theory. First, we use crystalline cohomology of classifying stacks to directly reconstruct…
Ind-étale vs Formally étale
Shubhodip Mondal, Alapan Mukhopadhyay
We show that when is a reduced algebra over a characteristic zero field and the module of Kähler differentials , then is ind-étale, partially answering a que…
Reconstruction of the stacky approach to de Rham cohomology
Shubhodip Mondal
In this short paper, we use Tannakian reconstruction techniques to prove a result that explains how to reconstruct the stacky approach to de Rham cohomology from the classical theo…