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arXiv · 2512.19656

The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application

Aurélien Faucher
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Abstract

We prove the Kawamata-Morrison cone conjecture for Q-factorial terminal projective primitive symplectic varieties with second Betti number greater than five defined over a field of characteristic zero. As an application, we prove that the relative movable and the relative nef cone conjectures hold for fibrations whose very general fibre is a projective primitive symplectic varieties under certain assumptions.

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Aurélien Faucher. 2025-12-22. The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application. https://arxiv.org/abs/2512.19656

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