Renato Dias Costa

collaborators

Showing math.AGShow all

2 papers · 1 filter

math.AG2023

Geometric and arithmetic aspects of rational elliptic surfaces

Renato Dias Costa

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 pos…

math.AG2022

Classification of conic bundles on a rational elliptic surface in any characteristic

Renato Dias Costa

Let $X$ be a rational elliptic surface with elliptic fibration $π : X \to P^{1}$ over an algebraically closed field $k$ of any characteristic. Given a conic bundle $φ:X\to\Bbb{P}^1…