no. 2
Lattice polarized irreducible holomorphic symplectic manifolds
[Variétés irréductibles holomorphes symplectiques polarisées par un réseau]
Camere, Chiara1
1 Dipartimento di Matematica “Federigo Enriques” Università degli Studi di Milano Via Cesare Saldini 50 20133 Milano (Italy)
Annales de l'Institut Fourier, Tome 66 (2016) no. 2, pp. 687-709.

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.

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.

Reçu le :
Révisé le :
Accepté le :
Publié le :
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
Mot 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) 
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Camere, Chiara. Lattice polarized irreducible holomorphic symplectic manifolds. Annales de l'Institut Fourier, Tome 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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