The maximum number of lines lying on a \(K3\) quartic surface

DOI10.1007/s00209-016-1742-6zbMath1387.14107arXiv1502.04510OpenAlexW3100781414MaRDI QIDQ522037

Davide Cesare Veniani

Publication date: 12 April 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04510

zbMATH Keywords

\(K3\) surfacelinerational double pointquartic surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Varieties of low degree (14N25) Hypersurfaces and algebraic geometry (14J70)

Related Items (6)

Symmetries and equations of smooth quartic surfaces with many lines ⋮ Counting lines on projective surfaces ⋮ Smooth models of singular \(K3\)-surfaces ⋮ AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2) ⋮ Tritangents to smooth sextic curves ⋮ Lines on \(K3\) quartic surfaces in characteristic \(3\)

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