6 papers
The McKay correspondence and local heights for wild-by-tame split metacyclic groups
Julie Tavernier, Takehiko Yasuda
We study the McKay correspondence for the representations of certain wild-by-tame split metacyclic groups whose order is divisible by the characteristic of the base field. We calcu…
Exceptional loci of F-blowups and -Hilbert schemes
Enrique Chávez-MartÃnez, Yutaro Kaijima, Takehiko Yasuda
We study exceptional loci of F-blowups of normal toric varieties. In the $\Q$-factorial case, this study amounts to studying the exceptional loci of -Hilbert schemes. We give a…
On linear -quotients
Quentin Posva, Linus Rösler, Takehiko Yasuda
We study linear -actions on affine spaces and the associated quotient singularities, using explicit stacky resolutions. We describe when the quotient singularities are log ca…
Orbifold pseudo-effective cones of toric stacks
Ratko Darda, Takehiko Yasuda
In this paper, we explicitly describe the orbifold pseudo-effective cone of a split toric stack.
The Batyrev-Manin conjecture for DM stacks II
Ratko Darda, Takehiko Yasuda
In this paper, we propose a new framework for studying the distribution of rational points on DM stacks of positive characteristic. Our primary focus is on wild stacks, which exist…
Counting torsors for wild abelian groups
Ratko Darda, Takehiko Yasuda
Let be a global field of characteristic and a finite abelian -group. In this paper we treat the question of counting -torsors over for certain heights dev…