3 papers
math.AG2026
Cancellation and splitting of Symplectic modules in the critical range and Euler class group
Rakesh Pawar, Husney Parvez Sarwar
In this paper, we discuss the cancellation and splitting of the symplectic modules. The symplectic cancellation result presented here can be thought of as an analog of the Projecti…
math.AG2025
Spectral sequences in unstable higher homotopy theory and applications to the coniveau filtration
Frédéric Déglise, Rakesh Pawar
With the aim of understanding Morel's result on the -homotopy sheaves over a field, we extend the theory of unstable spectral sequences of Bousfield and Kan in the $\…
math.AG2025
Non-finite type étale sites over fields
Sujeet Dhamore, Amit Hogadi, Rakesh Pawar
We consider the notion of finite type-ness of a site introduced by Morel and Voevodsky, for the étale site of a field. For a given field , we conjecture that the étale site of…