Girish Kulkarni

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math.AG2021

$A^{1}$ -connected components of classifying spaces and purity for torsors

Elden Elmanto, Girish Kulkarni, Matthias Wendt

In this paper, we study the Nisnevich sheafification $H_{e ˊ t}^{1} (G)$ of the presheaf associating to a smooth scheme the set of isomorphism classes of $G$ -torsors, f…

math.AG2019

Gabber presentation lemma over noetherian domains

Neeraj Deshmukh, Amit Hogadi, Girish Kulkarni +1

Following Schmidt and Strunk, we give a proof of Gabber presentation lemma over a noetherian domain with infinite residue fields.

A1-connected components of classifying spaces and purity for torsors

Gabber presentation lemma over noetherian domains

$A^{1}$ -connected components of classifying spaces and purity for torsors