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arXiv · 2111.06541

On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface

Yanki Lekili·Kazushi Ueda
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Abstract

We introduce a conjecture on homological mirror symmetry relating the symplectic topology of the complement of a smooth ample divisor in a K3 surface to algebraic geometry of type III degenerations, and prove it when the degree of the divisor is either 2 or 4.

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Yanki Lekili, Kazushi Ueda. 2021-11-12. On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface. https://arxiv.org/abs/2111.06541

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