Introduces Ind_SH(α) refining period-index relations via gerbe geometry and proves the period-index conjecture for products of elliptic curves of any dimension.
Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties
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Minimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index Problem
Introduces Ind_SH(α) refining period-index relations via gerbe geometry and proves the period-index conjecture for products of elliptic curves of any dimension.