Hessians and the moduli space of cubic surfaces

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The Hessian of a general cubic surface is a nodal quartic surface, hence its desingularisation is a K3 surface. We determine the transcendental lattice of the Hessian K3 surface for various cubic surfaces (with nodes and/or Eckardt points for example). Classical invariant theory shows that the moduli space of cubic surfaces is a weighted projective space. We describe the singular locus and some other subvarieties of the moduli space.
20 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/72522

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409322
 http://arxiv.org/abs/math/0409322

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arXiv