Lines on $$K3$$–Quartics Via Triangular Sets
Abstract We prove the sharp upper bound of at most 52 lines on a complex $$K3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>K</mml:mi> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> –surface of degree 4 with a non-empty singular locus. We also classify the configurations of more than 48 lines on smooth complex quartics.
Authors
- Sławomir Rams (ORCID: https://orcid.org/0000-0001-5210-6542)
- Alex Degtyarev (ORCID: https://orcid.org/0000-0001-6586-4094)
Institutions
- Jagiellonian University (PL)
- Bilkent University (TR)
- Institute of Mathematics (PL)
Publication Details
- Journal
- Discrete & Computational Geometry
- Published
- 2024-10-06
- DOI
- https://doi.org/10.1007/s00454-024-00690-6
- Citations
- 1
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- Narodowe Centrum Nauki
- Narodowym Centrum Nauki