Work

Lines on $$K3$$–Quartics Via Triangular Sets

Year: 2024

Type: article

Abstract: We prove the sharp upper bound of at most 52 lines on a complex $$K3$$ K 3 –surface of degree 4 with a non-empty singular locus. We also classify the configurations of more than 48 lines on smooth complex quartics.

Source: Discrete & Computational Geometry

DOI: 10.1007/s00454-024-00690-6

Authors: Alex Degtyarev, Sławomir Rams

Institutions: Bilkent University, Jagiellonian University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Narodowe Centrum Nauki, Narodowym Centrum Nauki

Award: G8986576842

OpenAlex ID: W4403162208

FWCI: 1.34

Cites: 23

Cited by: 2

Related to: 10