2 problems

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Jordan conjecture for fundamental groups of log canonical Fano pairs
Let $n$ be a positive integer, and let $(X,\Delta)$ be a log canonical Fano pair. Write $\pi_1^{\rm orb}(X,\Delta)$ for its orbifold fundamental group. Jordan conjecture for log ca…
Conjectureopenfundamental-groups jordan-property log-fano-pairsarXiv posted 2 days ago
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Shokurov's conjecture on Jordan rank and regularity of klt singularities
Let $x\in X$ be a complex klt singularity of dimension $n$ , and let $\pi_1^{\mathrm{loc}}(X,x)$ denote its local fundamental group. The Jordan property for a class of groups means…
Conjectureopenfundamental-groups jordan-property klt-singularitiesarXiv posted 2 days ago

Jordan conjecture for fundamental groups of log canonical Fano pairs