
TL;DR
This paper proves the surjectivity of the Brauer group map for tori over certain fields, advancing understanding of their algebraic and cohomological properties in number theory.
Contribution
It establishes the surjectivity of the Brauer group map for tori over local, global, or quasi-trivial cases, extending previous results in algebraic geometry and number theory.
Findings
Surjectivity of the Brauer group map for tori over local and global fields.
Extension of known results to quasi-trivial tori.
Implications for the arithmetic of algebraic tori.
Abstract
We show that the map is surjective for a torus defined over a field of characteristic when is a local or global field or is quasi-trivial.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology
