A Computational Solution to a Question by Beauville on the Invariants of the Binary Quintic - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2005

A Computational Solution to a Question by Beauville on the Invariants of the Binary Quintic

Résumé

We obtain an alternate proof of an injectivity result by Beauville for a map from the moduli space of quartic del Pezzo surfaces to the set of conjugacy classes of certain subgroups of the Cremona group. This amounts to showing that a projective configuration of five distinct unordered points on the line can be reconstructed from its five projective four-point subconfigurations. This is done by reduction to a question in the classical invariant theory of the binary quintic, which is solved by computer-assisted methods. More precisely, we show that six specific invariants of degree 24, the construction of which was explained to us by Beauville, generate all invariants the degrees of which are divisible by 48.

Dates et versions

hal-00086512 , version 1 (18-07-2006)

Identifiants

Citer

Abdelmalek Abdesselam. A Computational Solution to a Question by Beauville on the Invariants of the Binary Quintic. 2005. ⟨hal-00086512⟩
84 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More