English

Lattice polarized irreducible holomorphic symplectic manifolds

Algebraic Geometry 2016-07-11 v1

Abstract

We generalize Nikulin's and Dolgachev's lattice-theoretical mirror symmetry for K3 surfaces to lattice polarized higher dimensional irreducible holomorphic symplectic manifolds. In the case of fourfolds of K3[2]K3^{\left[2\right]}-type we then describe mirror families of polarized fourfolds and we give an example with mirror non-symplectic involutions.

Keywords

Cite

@article{arxiv.1312.3224,
  title  = {Lattice polarized irreducible holomorphic symplectic manifolds},
  author = {Chiara Camere},
  journal= {arXiv preprint arXiv:1312.3224},
  year   = {2016}
}

Comments

Comments are welcome