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.
Lattice polarized irreducible holomorphic symplectic manifolds / C. Camere. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - 66:2(2016), pp. 687-709.
Lattice polarized irreducible holomorphic symplectic manifolds
C. CamerePrimo
2016
Abstract
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.
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