On Galois cohomology of unipotent algebraic groups over local fields
Nguyen Duy Tan
TL;DR
This paper establishes a precise criterion for when Galois cohomology groups of unipotent algebraic groups over local fields in positive characteristic are finite, advancing understanding in algebraic and number theory.
Contribution
It provides a necessary and sufficient condition for the finiteness of Galois cohomology of unipotent groups over local fields of positive characteristic.
Findings
Characterization of finiteness conditions for Galois cohomology
Complete criteria applicable to unipotent groups over local fields
Enhanced understanding of cohomological properties in positive characteristic
Abstract
In this paper, we give a necessary and sufficient condition for the finiteness of Galois cohomology of unipotent groups over local fields of positive characteristic
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Polynomial and algebraic computation