Data di Pubblicazione:
2016
Citazione:
Topics in the arithmetic of Del Pezzo and K3 surfaces / D. Festi ; relatori: B. Van Geemen, P. Stevenhagen ; co-relatore: R. van Luijk. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2016 Jul 05. 28. ciclo, Anno Accademico 2015. [10.13130/festi-dino_phd2016-07-05].
Abstract:
In this thesis we study the arithmetic of certain del Pezzo surfaces and K3 surfaces.We prove that all the del Pezzo surfaces of degree 2 over a finite field are unirational. We compute the Picard lattice of the members of a family of K3 surfaces given by double covers of the projective plane. Finally, we provide an explicit example of a K3 surface over the field of rational numbers with a particular Picard lattice of rank 2.
Tipologia IRIS:
Tesi di dottorato
Keywords:
K3 surfaces ; del Pezzo surfaces ; arithmetic ; Picard lattice ; unirationality
Elenco autori:
D. Festi
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