3 citations · 6 across the 12 of their papers we have counts for
12 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…
-typical curves on -adic Tate twists and de Rham-Witt forms
Sanath K. Devalapurkar, Shubhodip Mondal
We show that de Rham--Witt forms are naturally isomorphic to -typical curves on -adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier w…
Unipotent homotopy theory of schemes
Shubhodip Mondal, Emanuel Reinecke
Building on Toën's work on affine stacks, we develop a certain homotopy theory for schemes, which we call "unipotent homotopy theory." Over a field of characteristic , we prov…
On Postnikov completeness for replete topoi
Shubhodip Mondal, Emanuel Reinecke
We show that the hypercomplete -topos associated with any replete topos is Postnikov complete, positively answering a question of Bhatt and Scholze; this will be deduced fr…
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…
On endomorphisms of the de Rham cohomology functor
Shizhang Li, Shubhodip Mondal
We compute the moduli of endomorphisms of the de Rham and crystalline cohomology functors, viewed as a cohomology theory on smooth schemes over truncated Witt vectors. As applicati…
G_a^{perf}-modules and de Rham Cohomology
Shubhodip Mondal
We prove that algebraic de Rham cohomology as a functor defined on smooth -algebras is formally étale in a precise sense. This result shows that given de Rham cohomol…
Dieudonné Theory via Cohomology of Classifying Stacks
Shubhodip Mondal
We prove that if is a finite flat group scheme of power rank over a perfect field of characteristic , then the second crystalline cohomology of its classifying stack $H^…