We study the variations of the rank of fibers of an elliptic surface with minimal model over k isomorphic to . We show that an infinite number of fibers have rank at least the generic rank plus two.
On étudie les variations du rang des fibres dans une surface elliptique. On montre que si son modèle minimal est alors il existe une infinité de fibres avec un rang égal au moins au rang générique augmenté de deux unités.
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Cecilia Salgado 1
@article{CRMATH_2009__347_3-4_129_0, author = {Cecilia Salgado}, title = {Rank of elliptic surfaces and base change}, journal = {Comptes Rendus. Math\'ematique}, pages = {129--132}, publisher = {Elsevier}, volume = {347}, number = {3-4}, year = {2009}, doi = {10.1016/j.crma.2008.12.003}, language = {en}, }
Cecilia Salgado. Rank of elliptic surfaces and base change. Comptes Rendus. Mathématique, Volume 347 (2009) no. 3-4, pp. 129-132. doi : 10.1016/j.crma.2008.12.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.12.003/
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☆ The work in this article had financial support provided by CAPES (Coordenaçao de Aperfeiçoamente de Pessoal de Nivel Superior).
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