Brauer groups of tame stacky curves and their $μ_r$-gerbes

We fit the Brauer group of a $μ_{r}$ -gerbe over a (possibly arbitrarily singular) stacky curve into an exact sequence and give characterizations for when it is short exact and conditions for when it splits. We also give a precise formula for the Brauer group of a $μ_{r}$ -gerbe in the case that the base curve is smooth.

Brauer groups of tame stacky curves and their $μ_{r}$ -gerbes

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Brauer groups of tame stacky curves and their $μ_{r}$ -gerbes

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Brauer groups of tame stacky curves and their μrμr​-gerbes

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Brauer groups of tame stacky curves and their μrμr​-gerbes

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Brauer groups of tame stacky curves and their $μ_{r}$ -gerbes

讲解博客

AI智能校验

Brauer groups of tame stacky curves and their $μ_{r}$ -gerbes

讲解博客

AI智能校验