Rank of elliptic surfaces and base change

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Abstract

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. To cite this article: C. Salgado, C. R. Acad. Sci. Paris, Ser. I 347 (2009)
Original languageEnglish
Pages (from-to)129-132
Number of pages4
JournalComptes Rendus Mathematique
Volume347
Issue number3-4
DOIs
Publication statusPublished - Feb-2009
Externally publishedYes

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