Endrass Surface on:
[Wikipedia]
[Google]
[Amazon]
In
In algebraic geometry
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
, an Endrass 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 tabl ...
of degree 8 with 168 real nodes, found by . This is the most real nodes known for its degree; however, the best proven upper bound, 174, does not match the lower bound given by this surface.
See also
*Barth surface
__NOTOC__
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 degre ...
* Sarti surface
*Togliatti surface
In algebraic geometry
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of mu ...
References
{{reflist Algebraic surfaces