Arithmetic and geometry of rational elliptic surfaces

Cecília Salgado*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

Let
E
be a rational elliptic surface over a number field~
k
. We study the interplay between a geometric property, the configuration of its singular fibers, and arithmetic features such as its Mordell-Weil rank over the base field and its possible minimal models over~
k
.
Original languageEnglish
Pages (from-to)2061-2076
Number of pages16
JournalRocky mountain journal of mathematics
Volume46
Issue number6
DOIs
Publication statusPublished - Dec-2016
Externally publishedYes

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