Rational quartic symmetroids
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Martin Helsø
Abstract
We classify rational, irreducible quartic symmetroids in projective 3-space. They are either singular along a line or a smooth conic section, or they have a triple point or a tacnode.
Communicated by: I. Coskun
Acknowledgements
I would like to thank Kristian Ranestad for many insightful discussions and for super\-vising the master’s thesis of which this paper is both an abridgement and an extension. I thank the anonymous referee for helpful comments.
References
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Articles in the same Issue
- Frontmatter
- The cone topology on masures
- A calculus for conformal hypersurfaces and new higher Willmore energy functionals
- On plane curves given by separated polynomials and their automorphisms
- Rational quartic symmetroids
- Voisin’s conjecture for zero-cycles on Calabi–Yau varieties and their mirrors
- Nef vector bundles on a quadric surface with the first Chern class (2, 1)
- A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
- Toric log del Pezzo surfaces with one singularity
- Farthest points on most Alexandrov surfaces
Articles in the same Issue
- Frontmatter
- The cone topology on masures
- A calculus for conformal hypersurfaces and new higher Willmore energy functionals
- On plane curves given by separated polynomials and their automorphisms
- Rational quartic symmetroids
- Voisin’s conjecture for zero-cycles on Calabi–Yau varieties and their mirrors
- Nef vector bundles on a quadric surface with the first Chern class (2, 1)
- A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
- Toric log del Pezzo surfaces with one singularity
- Farthest points on most Alexandrov surfaces
