English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article, we prove a $p$-adic analogue of the local invariant cycletheorem for $H^2$ in mixed characteristics. As a result, for a smoothprojective variety $X$ over a $p$-adic local field $K$ with a proper flatregular model $\mathcal{X}$ over $O_K$, we show that the natural map$Br(\mathcal{X})\rightarrow Br(X_{\bar{K}})^{G_K}$ has a finite kernel and afinite cokernel. And we prove that the natural map$Hom(Br(X)/Br(K)+Br(\mathcal{X}), \mathbb{Q}/\mathbb{Z}) \rightarrow Alb_X(K)$has a finite kernel and a finite cokernel, generalizing Lichtenbaum's dualitybetween Brauer groups and Jacobians for curves to arbitrary dimensions.

A $p$-adic local invariant cycle theorem with applications to Brauer groups