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Pullbacks of hyperplane sections for Lagrangian fibrations are primitive

par Kamenova, Ljudmila;Verbitskiy, Misha
Référence Communications in Contemporary Mathematics, 21, 8, 1850065
Publication Publié, 2019-12

Article révisé par les pairs

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Résumé :

Let p: M → B be a Lagrangian fibration on a hyperkähler manifold of maximal holonomy (also known as IHS), and H be the generator of the Picard group of B. Assume that p has no multiple fibers in codimension 1. We prove that p∗(H) is a primitive class on M.