Minimal Trivializing Isogenies of ${\mathbb{G}}_m$-gerbes over Abelian Varieties and Period-Index Problem

Ruoxi Li

For an abelian variety $X$ and $\alpha \in Br(X)$, we propose a new invariance $In{d}_{SH}(\alpha )$ that refines the known period index relations. It is closely related to the geometry of $\mat…