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Smoothness criterion for Fano orbifolds and bases of Lagrangian fibrations

Zhiyu Liu

math.AGarXiv:2610.20496

Abstract

We establish a smoothness criterion for Fano varieties with quotient singularities. As an application, we show that if X B is a Lagrangian fibration from a compact hyper-Kähler manifold and B has quotient singularities, then B is a projective space.

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