English

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

Algebraic Geometry 2021-11-15 v1 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.2111.06541,
  title  = {On homological mirror symmetry for the complement of a smooth ample divisor in a K3 surface},
  author = {Yanki Lekili and Kazushi Ueda},
  journal= {arXiv preprint arXiv:2111.06541},
  year   = {2021}
}

Comments

5 pages, 9 figures