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
.
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 language | English |
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Pages (from-to) | 2061-2076 |
Number of pages | 16 |
Journal | Rocky mountain journal of mathematics |
Volume | 46 |
Issue number | 6 |
DOIs | |
Publication status | Published - Dec-2016 |
Externally published | Yes |