Lines on K3-quartics via triangular sets

Autor: Degtyarev, Alex, Rams, Sławomir
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We prove the sharp upper bound of at most $52$ lines on a complex K3-surface of degree four with a non-empty singular locus. We also classify the configurations of more than $48$ lines on smooth complex quartics.
Comment: 22 pages, extra data available as ancillary files
Databáze: arXiv