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math.NT2023
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.
math.NT2023
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…
math.NT2023
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