S5-invariant Nonsingular Quartic Surfaces
Giorgio Faina, Stefano Marcugini Fernanda Pambianco, Hitoshi Kaneta
TL;DR
This paper classifies all nonsingular quartic surfaces invariant under the symmetric group S5, showing that such surfaces exist and are fully characterized, while also proving that no A6-invariant nonsingular quartic surfaces exist.
Contribution
The paper provides a complete classification of S5-invariant nonsingular quartic surfaces and proves the non-existence of A6-invariant ones.
Findings
All S5-invariant nonsingular quartic surfaces are obtained.
No A6-invariant nonsingular quartic surfaces exist.
Abstract
All S5-invariant nonsingular quartic surfaces are obtained. There exist no A6- invariant nonsingular quartic surfaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Mathematics and Applications · Finite Group Theory Research