1 citations · 1 across the 7 of their papers we have counts for
7 papers
Campana points on wonderful compactifications
Dylon Chow, Daniel Loughran, Ramin Takloo-Bighash +1
We prove a variant of Manin's conjecture for Campana points on wonderful compactifications of semi-simple algebraic groups of adjoint type. We use this to provide evidence for a ne…
The Picard Group of a Reductive Group over a Number Field
Dylon Chow
We give a description of the Picard group of a reductive group over a number field as an abelianized Galois cohomology group. It gives another approach of a result due to Labesse.
Galois Cohomology of Reductive Groups over Function Fields over
Dylon Chow
Over a global field (number field or function field of a curve over a finite field), theorems for the Galois cohomology of algebraic groups have long been known. For the functi…
A finiteness theorem in Galois cohomology
Dylon Chow
We prove the finiteness of the kernel of the localization map in the Galois cohomology of a connected reductive group over a global field
The algebraic Brauer group of a reductive group over a nonarchimedean local field
Dylon Chow
We show that for nonarchimedean local fields , the pairing from the algebraic part of the Brauer group of a reductive group characterizes all continuous homomorphisms from $…
On the localization map in the Galois cohomology of algebraic groups
Dylon Chow
We study surjectivity of a localization map in Galois cohomology.
The Distribution of Integral Points on the Wonderful Compactification by Height
Dylon Chow
We study the asymptotic distribution of S-integral points of bounded height on partial bi-equivariant compactifications of semi-simple groups of adjoint type.