Elliptic Fibrations and Involutions on K3 Surfaces

Alice Garbagnati*, Cecília Salgado

*Corresponding author for this work

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Abstract

We survey our contributions on the classification of elliptic fibrations on K3 surfaces with a non-symplectic involution. We place them in the more general framework of K3 surfaces with an involution without any hypothesis on its fixed locus or on the action on the symplectic 2-form. We revisit the complete classification of elliptic fibrations on K3 surfaces with a 2-elementary Néron–Severi lattice and give a complete classification of extremal elliptic fibrations on K3 surfaces that are quadratic covers of rational elliptic surfaces.

Original languageEnglish
Title of host publicationWomen in Numbers Europe IV
Subtitle of host publicationResearch Directions in Number Theory
EditorsRamla Abdellatif, Valentijn Karemaker, Lejla Smajlovic
PublisherSpringer
Pages293-322
Number of pages30
ISBN (Electronic)978-3-031-52163-8
ISBN (Print)978-3-031-52162-1
DOIs
Publication statusPublished - 2024

Publication series

NameAssociation for Women in Mathematics Series
PublisherSpringer
Volume32
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741

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