Topics in the arithmetic of del Pezzo and K3 surfaces

Festi, D. (2016)

Doctoral Thesis

 

In this thesis we study the unirationality of del Pezzo surfaces of degree 2 over finite fields, proving that every such surface is unirational.
We explicitly compute the Picard lattice of the members of a 1-dimensional family of K3 surfaces.
We produce an explicit example of a K3 surface having a particular Picard lattice of rank 2.

 

• K3 surfaces
• Del Pezzo surfaces
• Picard lattice
• Unirationality.

• All authors: Festi, D.
• Supervisor: Stevenhagen, Peter; Geemen, Lambertus van
• Co-supervisor: Ronald, M. van Luijk
• Committee: Vaart, Adrianus W. van der; Varilly-Alvarado, Anthony; Top, Jaap G.; Bright, Martin; Edixhoven, Sebastiaan J.; Smit, Bart de; Lorenzo Garca, Elisa
• Qualification: Doctor (dr.)
• Awarding Institution: Mathematical Institute, Science, Leiden University
• Date: 2016-07-05
• Sponsorship: ALGANT