A finiteness theorem in Galois cohomology
Dylon Chow
TL;DR
This paper proves a finiteness property in Galois cohomology related to connected reductive groups over global fields, advancing understanding of their cohomological behavior.
Contribution
It establishes the finiteness of the kernel of the localization map in Galois cohomology for these groups, a new result in the field.
Findings
Finiteness of the kernel of the localization map proven
Advances understanding of Galois cohomology of reductive groups
Provides tools for further research in arithmetic geometry
Abstract
We prove the finiteness of the kernel of the localization map in the Galois cohomology of a connected reductive group over a global field
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models