Weddle surface

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title: "Weddle surface" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["algebraic-surfaces", "complex-surfaces"] topic_path: "general/algebraic-surfaces" source: "https://en.wikipedia.org/wiki/Weddle_surface" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

In algebraic geometry, a Weddle surface, introduced by , is a quartic surface in 3-dimensional projective space, given by the locus of vertices of the family of cones passing through 6 points in general position.

Weddle surfaces have 6 nodes and are birational to Kummer surfaces.

References

{{citation|title=Surfaces de Weddle et leurs espaces de Modules: Fonctions thêta, fibrés vectoriels et géométrie des variétés Jacobiennes des courbes |year= 2010 |first=Michele |last=Bolognesi|publisher=Editions universitaires europeennes |isbn= 978-6131546761}}

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