no. 2
Lattice polarized irreducible holomorphic symplectic manifolds
Camere, Chiara1
1Dipartimento di Matematica “Federigo Enriques” Università degli Studi di Milano Via Cesare Saldini 50 20133 Milano (Italy)
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
Mots-clés : variété irréductible holomorphe symplectique polarisée par un réseau, symétrie miroir, variété hyperkählerienne polarisée par un réseau, involution miroir

Camere, Chiara  1

1 Dipartimento di Matematica “Federigo Enriques” Università degli Studi di Milano Via Cesare Saldini 50 20133 Milano (Italy) 
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
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