Plücker surface
Algebraic geometry surface, studied by Julius Plücker (1899)
title: "Plücker surface" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["algebraic-surfaces"] description: "Algebraic geometry surface, studied by Julius Plücker (1899)" topic_path: "general/algebraic-surfaces" source: "https://en.wikipedia.org/wiki/Plücker_surface" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0
::summary Algebraic geometry surface, studied by Julius Plücker (1899) ::
In algebraic geometry, a Plücker surface, studied by , is a quartic surface in 3-dimensional projective space with a double line and 8 nodes.
Construction
For any quadric line complex, the lines of the complex in a plane envelop a quadric in the plane. A Plücker surface depends on the choice of a quadric line complex and a line, and consists of points of the quadrics associated to the planes through the chosen line.
References
References
- (1990). "Kummer's quartic surface". [[Cambridge University Press]].
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