English

A W(E_6)-equivariant projective embedding of the moduli space of cubic surfaces

Algebraic Geometry 2007-05-23 v1

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.

Cite

@article{arxiv.math/0002102,
  title  = {A W(E_6)-equivariant projective embedding of the moduli space of cubic surfaces},
  author = {Masaaki Yoshida},
  journal= {arXiv preprint arXiv:math/0002102},
  year   = {2007}
}

Comments

15 pages, Latex2e