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.
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.
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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
@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{\textquoteright}institut Fourier}, volume = {66}, number = {2}, year = {2016}, doi = {10.5802/aif.3022}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3022/} }
TY - JOUR AU - Camere, Chiara TI - Lattice polarized irreducible holomorphic symplectic manifolds JO - Annales de l'Institut Fourier PY - 2016 SP - 687 EP - 709 VL - 66 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3022/ DO - 10.5802/aif.3022 LA - en ID - AIF_2016__66_2_687_0 ER -
%0 Journal Article %A Camere, Chiara %T Lattice polarized irreducible holomorphic symplectic manifolds %J Annales de l'Institut Fourier %D 2016 %P 687-709 %V 66 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3022/ %R 10.5802/aif.3022 %G en %F AIF_2016__66_2_687_0
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. https://aif.centre-mersenne.org/articles/10.5802/aif.3022/
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