A W(E₆)-equivariant projective embedding of the moduli space of cubic surfaces

2000/02/13 by Masaaki Yoshida, Yoshida, Masaaki · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #math.AG

paper · pdf · doi:10.48550/arxiv.math/0002102

15 pages, Latex2e

arxiv created 2000/02/13 · openalex publication_date 2000/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An explicit projective embedding of the moduli space of marked cubic surfaces is given. This embedding is equivariant under the Weyl group of type E6. The image is defined by a system of linear and cubic equations. To express the embedding in a most symmetric way, the target would be 79-dimensional, however the image lies in a 9-dimensional linear subspace.

Cited by

• A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces

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