p-Primary Torsion of the Brauer Group in Characteristic p

Yuan Yang

p-Primary Torsion of the Brauer Group in Characteristic p

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arxiv 2410.09969 v3 pith:VLCQBN3H submitted 2024-10-13 math.AG math.NT

Yuan Yang This is my paper · ORCID

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keywords brauercharacteristicgroupp-primaryalgebraicallyclosedcomponentfield

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Let X be a proper smooth variety over an algebraically closed field k of characteristic p>0. This thesis studies the p-primary component of the Brauer group of X.

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Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic
math.AG 2025-07 accept novelty 4.0 of 10

A mostly expository article that re-proves known p-adic comparison theorems with elementary tools and adds a new corollary about multiplication by n on fppf cohomology of abelian varieties.

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