We prove the symplectic analogue of the isotropy theorem for orthogonal involutions. We apply (a modification of) a method due to J.-P. Tignol originally applied to prove the symplectic analogue of the hyperbolicity theorem for orthogonal involutions.
Nous démontrons l'analogue symplectique du théorème d'isotropie des involutions orthogonales. Nous utilisons (une modification de) la méthode due à J.-P. Tignol initialement utilisée pour démontrer l'analogue symplectique du théorème d'hyperbolicité des involutions orthogonales.
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Nikita A. Karpenko 1
@article{CRMATH_2010__348_21-22_1151_0, author = {Nikita A. Karpenko}, title = {Isotropy of symplectic involutions}, journal = {Comptes Rendus. Math\'ematique}, pages = {1151--1153}, publisher = {Elsevier}, volume = {348}, number = {21-22}, year = {2010}, doi = {10.1016/j.crma.2010.10.005}, language = {en}, }
Nikita A. Karpenko. Isotropy of symplectic involutions. Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1151-1153. doi : 10.1016/j.crma.2010.10.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.10.005/
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