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arXiv · 2206.00691

Rational curves on primitive symplectic varieties of OG6 singular type

Valeria Bertini·Annalisa Grossi
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Abstract

We prove that any ample class on a primitive symplectic variety that is locally trivial deformation of O'Grady's singular 6 dimensional example is proportional to the first Chern class of a uniruled divisor. This result answers a question of Lehn, Mongardi and Pacienza, extending their result for primitive symplectic varieties of this deformation type.

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Valeria Bertini, Annalisa Grossi. 2022-06-01. Rational curves on primitive symplectic varieties of OG6 singular type. https://arxiv.org/abs/2206.00691

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