6 citations · 15 across the 11 of their papers we have counts for
11 papers
Periodic Event-Triggered Explicit Reference Governor for Constrained Attitude Control on SO(3)
Satoshi Nakano, Masahiro Suzuki, Misa Ohashi +2
This letter addresses the constrained attitude control problem for rigid bodies directly on the special orthogonal group SO(3), avoiding singularities associated with parameterizat…
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…
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…
Unramified logarithmic Hodge-Witt cohomology and -invariance
Wataru Kai, Shusuke Otabe, Takao Yamazaki
Let be a smooth proper variety over a field and suppose that the degree map is isomorphic for any field extension . We sh…
On the mod unramified cohomology of varieties having universally trivial Chow group of zero-cycles
Shusuke Otabe
Auel-Bigazzi-Böhning-Graf von Bothmer proved that if a proper smooth variety over a field of characteristic has universally trivial Chow group of -cycles, the coho…
A generalized Abhyankar's conjecture for simple Lie algebras in characteristic
Shusuke Otabe, Fabio Tonini, Lei Zhang
In the present paper, we study a purely inseparable counterpart of Abhyankar's conjecture for the affine line in positive characteristic, and prove its validity for all the finite…
An embedding problem for finite local torsors over twisted curves
Shusuke Otabe
In his previous paper, the author proposed as a problem a purely inseparable analogue of the Abhyankar conjecture for affine curves in positive characteristic and gave a partial an…
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…
On a purely inseparable analogue of the Abhyankar Conjecture for affine curves
Shusuke Otabe
Let be an affine smooth curve defined over an algebraically closed field of positive characteristic. The Abhyankar Conjecture (proved by Raynaud and Harbater in 1994) describes…
Semifinite Bundles and the Chevalley-Weil Formula
Shusuke Otabe
In our previous paper, we studied the category of semifinite bundles on a proper variety defined over a field of characteristic 0. As a result, we obtained the fact that for a smoo…
An Extension of Nori Fundamental Group
Shusuke Otabe
In this paper, we study a certain extension of Nori's fundamental group in the case where a base field is of characteristic 0 and give structure theorems about it. As a result, for…