Cubic Surfaces and Borcherds Products

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dc.creatorAllcock, Daniel
dc.creatorFreitag, Eberhard
dc.date2000-02-09
dc.date.accessioned2026-07-07T04:33:39Z
dc.date.available2026-07-07T04:33:39Z
dc.descriptionThe moduli space of cubic surfaces in complex projective space is known to be isomorphic to the quotient of the complex 4-ball by a certain arithmetic group. We apply Borcherds' techniques to construct automorphic forms for this group and show that these provide an embedding of the moduli space in 9-dimensional projective space. We also show that our automorphic forms directly encode the geometry of cubic surfaces, by showing that each of Cayley's invariants (certain cross-ratios) is simply a quotient of two of our automorphic forms.
dc.description27 pages; plain TeX
dc.identifierhttps://arxiv.org/abs/math/0002066
dc.identifierhttp://arxiv.org/abs/math/0002066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58656
dc.subjectAlgebraic Geometry
dc.subject11F55; 14J10
dc.titleCubic Surfaces and Borcherds Products
dc.typetext

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