On a smooth quartic surface containing 56 lines which is isomorphic as a \(K3\) surface to the Fermat quartic

DOI10.1007/s00229-016-0886-3zbMath1387.14106arXiv1604.06265OpenAlexW2963077015MaRDI QIDQ527712

Tetsuji Shioda, Ichiro Shimada

Publication date: 12 May 2017

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06265

zbMATH Keywords

\(K3\) surfacelinequartic surfaceFermat surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Special surfaces (14J25)

Related Items

Cohomology and the Brauer groups of diagonal surfaces ⋮ Lines in supersingular quartics ⋮ Symmetries and equations of smooth quartic surfaces with many lines ⋮ Counting lines on projective surfaces ⋮ Smooth models of singular \(K3\)-surfaces ⋮ Isomorphic quartic \(K3\) surfaces in the view of Cremona and projective transformations ⋮ Integral Hodge conjecture for Fermat varieties ⋮ Algebraic hypersurfaces ⋮ Lines on smooth polarized \(K3\)-surfaces ⋮ Tritangents to smooth sextic curves ⋮ Lines on \(K3\) quartic surfaces in characteristic \(3\)

Uses Software

• GAP

Cites Work

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