In
algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
, a Weddle surface, introduced by , is a
quartic surface
In mathematics, especially in algebraic geometry, a quartic surface is a surface defined by an equation of degree 4.
More specifically there are two closely related types of quartic surface: affine and projective. An ''affine'' quartic surfac ...
in 3-dimensional
projective space
In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet ''at infinity''. A projective space may thus be viewed as the extension of a Euclidean space, or, more generally ...
, 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
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*
*
*{{citation, first=Thomas, last=Weddle, authorlink=Thomas Weddle, year=1850, journal=Cambridge and Dublin mathematical journal, pages=58–69, volume=5, url=http://resolver.sub.uni-goettingen.de/purl?PPN600493962_0005, title=On the theorems in space analogous to those of Pascal and Brianchon in a plane.– Part II
Algebraic surfaces
Complex surfaces