May 2024 On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface
Yankı Lekili, Kazushi Ueda
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Kyoto J. Math. 64(2): 557-564 (May 2024). DOI: 10.1215/21562261-2023-0023

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 the algebraic geometry of type III degenerations. We prove it when the degree of the divisor is either 2 or 4.

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Yankı Lekili. Kazushi Ueda. "On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface." Kyoto J. Math. 64 (2) 557 - 564, May 2024. https://doi.org/10.1215/21562261-2023-0023

Information

Received: 28 January 2022; Revised: 18 October 2022; Accepted: 15 November 2022; Published: May 2024
First available in Project Euclid: 15 March 2024

MathSciNet: MR4718488
Digital Object Identifier: 10.1215/21562261-2023-0023

Subjects:
Primary: 14J33
Secondary: 14J28 , 53D37

Keywords: homological mirror symmetry , K3 surface

Rights: Copyright © 2024 by Kyoto University

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Vol.64 • No. 2 • May 2024
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