Geodesic
Lagrange Intersections in a Symplectic Space
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 64-70

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The two-dimensional torus $|z_1|=|z_2|=1$ in the symplectic space $\mathbb{C}^2$ and the image of it under a linear symplectomorphism have at least eight common points (counted according to their multiplicities). We also prove a many-dimensional version of this theorem of symplectic linear algebra. 
@article{FAA_2000_34_4_a4,
     author = {P. E. Pushkar'},
     title = {Lagrange {Intersections} in a {Symplectic} {Space}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a4/}
}
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P. E. Pushkar'. Lagrange Intersections in a Symplectic Space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 64-70. http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a4/