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In algebraic geometry, a Togliatti surface is a
In algebraic geometry, a Togliatti surface is a nodal surface
In algebraic geometry, a nodal surface is a surface in (usually complex) projective space whose only singularities are nodes. A major problem about them is to find the maximum number of nodes of a nodal surface of given degree.
The following t ...
of degree five with 31 nodes. The first examples were constructed by . proved that 31 is the maximum possible number of nodes for a surface of this degree, showing this example to be optimal.
See also
*Barth surface
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In algebraic geometry, a Barth surface is one of the complex nodal surfaces in 3 dimensions with large numbers of double points found by . Two examples are the Barth sextic of degree 6 with 65 double points, and the Barth decic of deg ...
* Endrass surface
* Sarti surface
*List of algebraic surfaces
This is a list of named algebraic surfaces, compact complex surfaces, and families thereof, sorted according to their Kodaira dimension following Enriques–Kodaira classification.
Kodaira dimension −∞
Rational surfaces
* Projective plane Qua ...
References
*. *.External links
* * Algebraic surfaces Complex surfaces {{algebraic-geometry-stub