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

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

2000-02-13

arxiv.org/abs/math/0002102v1

Mathematics

Algebraic Geometry

15 pages, Latex2e

Scientific paper

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.

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