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arXiv · 2606.18357

Irreducible symplectic varieties via K3-del Pezzo double covers

Riccardo Carini
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Abstract

We construct a series of irreducible symplectic varieties of dimension $2n$, for $2\leq n\leq 10$, with second Betti numbers $16\leq b_2\leq 24$. They arise as non-trivial terminalisations of finite symplectic quotients of Beauville-Mukai systems on very general K3-del Pezzo double covers.

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Riccardo Carini. 2026-06-16. Irreducible symplectic varieties via K3-del Pezzo double covers. https://arxiv.org/abs/2606.18357

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