Enriques involutions on pencils of K3 surfaces

Enriques involutions on pencils of K3 surfaces

The three pencils of K3 surfaces of minimal discriminant whose general element covers at least one Enriques surface are Kondō's pencils I and II, and the Apéry–Fermi pencil. We enumerate and investigate all Enriques surfaces covered by their general elements.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematische Nachrichten 2022-07, Vol.295 (7), p.1312-1326
Hauptverfasser: Festi, Dino, Veniani, Davide Cesare
Format: Artikel
Sprache:eng
Schlagworte:
elliptic fibration
Enriques surface
K3 surface
Pencils
transcendental lattice
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The three pencils of K3 surfaces of minimal discriminant whose general element covers at least one Enriques surface are Kondō's pencils I and II, and the Apéry–Fermi pencil. We enumerate and investigate all Enriques surfaces covered by their general elements.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202100140