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Licensed Unlicensed Requires Authentication Published by De Gruyter October 8, 2014

On quartics with lines of the second kind

  • Sławomir Rams EMAIL logo and Matthias Schütt
From the journal Advances in Geometry
https://doi.org/10.1515/advgeom-2014-0018

Abstract

We study the geometry of quartic surfaces in P3 that contain a line of the second kind over algebraically closed fields of characteristic different from 2; 3. In particular, we correct Segre’s claims made for the complex case in 1943.

Keywords: Line; quartic; elliptic fibration; K3 surface
Published Online: 2014-10-8
Published in Print: 2014-10-1

© 2014 by Walter de Gruyter Berlin/Boston

From the journal
Advances in Geometry
Advances in Geometry
Volume 14 Issue 4

Journal and Issue

Articles in the same Issue

Frontmatter
On the type number of a hypersurface in the 6-dimensional sphere
On the equality case in Ehrhart’s volume conjecture
Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kähler manifolds
The holomorphic symplectic structures on hyper-Kähler manifolds of type A∞
Bifurcation values and stability of algebras of bounded polynomials
Families of bitangent planes of space curves and minimal non-fibration families
On deformations of G2-structures by Killing vector fields
Cohomology of 3-points configuration spaces of complex projective spaces
Slope stability of Fano fourfolds with respect to smooth surfaces
On quartics with lines of the second kind
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