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math.AT2022★ 2 cited
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…
math.AG2022
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…
math.AG2022
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…