no. 2

Lattice polarized irreducible holomorphic symplectic manifolds  [ Variétés irréductibles holomorphes symplectiques polarisées par un réseau ]
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.

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DOI : https://doi.org/10.5802/aif.3022
Classification : 14J15,  32G13,  14J33,  14J35
Mots clés : variété irréductible holomorphe symplectique polarisée par un réseau, symétrie miroir, variété hyperkählerienne polarisée par un réseau, involution miroir 
@article{AIF_2016__66_2_687_0,
     author = {Camere, Chiara},
     title = {Lattice polarized irreducible holomorphic symplectic manifolds},
     journal = {Annales de l'Institut Fourier},
     pages = {687--709},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {66},
     number = {2},
     year = {2016},
     doi = {10.5802/aif.3022},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2016__66_2_687_0/}
}
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/item/AIF_2016__66_2_687_0/

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