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math.AG2026
Class field theory for function fields and finite abelian torsors
Bryden Cais, Shusuke Otabe
Let be a smooth and connected curve over an algebraically closed field of positive characteristic, with smooth compactification . We generalize classical Geometric Class Fie…
math.AG2025
On retract rationality for finite connected group schemes
Shusuke Otabe
In the present paper, we prove the retract rationality of the classifying spaces for several types of finite connected group schemes over algebraically closed fields of po…
math.AG2025
The tame fundamental group schemes of curves in positive characteristic
Shusuke Otabe
The tame fundamental group scheme for an algebraic variety is the maximal linearly reductive quotient of Nori's fundamental group scheme. In this paper, we study the tame fundament…