Lattice polarized irreducible holomorphic symplectic manifolds
Annales de l'Institut Fourier, Volume 66 (2016) no. 2, pp. 687-709.

We generalize lattice-theoretical mirror symmetry for K3 surfaces to lattice polarized higher dimensional irreducible holomorphic symplectic manifolds. In the case of fourfolds of K3 2 -type we then describe mirror families of polarized fourfolds and we give an example with mirror non-symplectic involutions.

On généralise la construction de la symétrie miroir des surfaces K3 aux variétés irréductibles holomorphes symplectiques X polarisées par un réseau. Dans le cas des variétés de type K3 2 on étudie la famille miroir des variétés polarisées et on généralise la notion de couple d’involutions non-symplectiques miroirs.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3022
Classification: 14J15,  32G13,  14J33,  14J35
Keywords: lattice polarized irreducible holomorphic symplectic manifold, mirror symmetry, lattice polarized hyperkähler manifold, mirror involution
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Camere, Chiara. Lattice polarized irreducible holomorphic symplectic manifolds. Annales de l'Institut Fourier, Volume 66 (2016) no. 2, pp. 687-709. doi : 10.5802/aif.3022. https://aif.centre-mersenne.org/articles/10.5802/aif.3022/

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