Geometric and arithmetic aspects of rational elliptic surfaces
Algebraic Geometry
2023-02-14 v1 Number Theory
Abstract
PhD dissertation consists in three lines of investigation involving rational elliptic surfaces, namely 1) a study of conic bundles on these surfaces; 2) an investigation of the possible intersection numbers of two sections and 3) a theorem regarding the set of fibers whose Mordell-Weil ranks are at least 3 units higher than the generic rank of the elliptic fibration.
Cite
@article{arxiv.2302.05485,
title = {Geometric and arithmetic aspects of rational elliptic surfaces},
author = {Renato Dias Costa},
journal= {arXiv preprint arXiv:2302.05485},
year = {2023}
}
Comments
PhD dissertation presented in December 2022 in the Federal University of Rio de Janeiro (UFRJ)