Topics in the arithmetic of del Pezzo and K3 surfaces

Author(s):
Festi, D.
Published
2016
Publication type
Doctoral Thesis

Abstract

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 surfacesDel Pezzo surfacesPicard latticeUnirationality.
Defense date
2016-07-05
Language
English
Supervisor(s)
Stevenhagen, Peter; Geemen, Lambertus van
Advisor(s)
Ronald, M. van Luijk
Committee member(s)
Vaart, Adrianus W. van der; Varilly-Alvarado, Anthony; Top, Jaap G.; Bright, Martin; Edixhoven, Sebastiaan J.; Smit, Bart de; Lorenzo Garca, Elisa
Qualification
Ph.D.
Degree granting institution
Mathematical Institute, Science, Leiden University, Leiden
hdl
1887/41476

Funding

Sponsorship
ALGANT