Cover Page The handle http://hdl.handle.net/1887/41476 holds various files of this Leiden University dissertation

This work was part of the ALGANT program and was carried out at Universiteit Leiden and Universit` a degli studi di Milano... The mathematician’s patterns, like the painter’s or

The line connecting the works presented here is the study of the arithmetic of surfaces that are double covers of the projective plane, ramified along a curve of low degree:

In this section we introduce the notion of del Pezzo surface and some basic results about these surfaces, focusing on del Pezzo surfaces of degree 1 and 2. For a general introduction

Since all del Pezzo surfaces over finite fields have a rational point (see [Man86, Corollary 27.1.1]), this implies that every del Pezzo surface of degree at least 3 over a finite

Proof of Proposition 3.1.3. In fact we will show that there is a dominant rational map from X η to a surface having geometric.. Picard number at least 19.. Then the

In this chapter we present a determinantal quartic K3 surface whose Picard lattice is isomorphic to a particular lattice of rank 2. This con- struction is made interesting by Oguiso

I would like to thank the reading committee of my thesis, for the at- tention they paid to my work and for all the useful comments they gave me; I would also like to thank

In the thesis titled “Topics in the arithmetic of del Pezzo and K3 sur- faces”, the author presents the results he achieved during his PhD.. Some of these results have already