Nous présentons deux démonstrations de la nullité de pour les variétés projectives, lisses, séparablement rationnellement connexes, sur un corps algébriquement clos. La seconde, cohomologique, se généralise aux variétés ayant une courbe libre de genre supérieur.
We present two proofs that for a smooth projective separably rationally connected variety over an algebraically closed field . The second, cohomological proof generalises to varieties admitting a free curve of higher genus.
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Frank Gounelas 1
@article{CRMATH_2014__352_11_871_0, author = {Frank Gounelas}, title = {The first cohomology of separably rationally connected varieties}, journal = {Comptes Rendus. Math\'ematique}, pages = {871--873}, publisher = {Elsevier}, volume = {352}, number = {11}, year = {2014}, doi = {10.1016/j.crma.2014.09.013}, language = {en}, }
Frank Gounelas. The first cohomology of separably rationally connected varieties. Comptes Rendus. Mathématique, Volume 352 (2014) no. 11, pp. 871-873. doi : 10.1016/j.crma.2014.09.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.09.013/
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