On généralise la construction de la symétrie miroir des surfaces K3 aux variétés irréductibles holomorphes symplectiques polarisées par un réseau. Dans le cas des variétés de type 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 -type we then describe mirror families of polarized fourfolds and we give an example with mirror non-symplectic involutions.
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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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