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Plücker surface

Algebraic geometry surface, studied by Julius Plücker (1899)


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

  1. (1990). "Kummer's quartic surface". [[Cambridge University Press]].
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