Anand Sawant

collaborators

3 papers

math.AG2025

Transfers on $A^{1}$ -connected components of quasi-split groups and the norm principle

Amit Hogadi, Anand Sawant

We show that the sheaf of $A^{1}$ -connected components of a quasi-split group over a perfect field is a strictly $A^{1}$ -invariant sheaf with (Voevodsky) transfers. As…

math.AG2021

Geometric criteria for $A^{1}$ -connectedness and applications to norm varieties

Chetan Balwe, Amit Hogadi, Anand Sawant

We show that $A^{1}$ -connectedness of a large class of varieties over a field $k$ can be characterized as the condition that their generic point can be connected to a $k$ -rat…

math.AG2017

Naive vs. genuine A^1-connectedness

Anand Sawant

We show that the triviality of sections of the sheaf of A^1-chain connected components of a space over finitely generated separable field extensions of the base field is not suffic…

Transfers on A1-connected components of quasi-split groups and the norm principle

Geometric criteria for A1-connectedness and applications to norm varieties

Naive vs. genuine A^1-connectedness

Transfers on $A^{1}$ -connected components of quasi-split groups and the norm principle

Geometric criteria for $A^{1}$ -connectedness and applications to norm varieties