In algebraic geometry, a Coble curve is an irreducible degree-6 planar curve with 10
double point
In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied.
Algebraic curves in the plane
Algebraic curv ...
s (some of them may be infinitely near points).
They were studied by .
See also
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Coble surface
In algebraic geometry, a Coble surface was defined by to be a smooth rational projective surface with empty anti-canonical linear system , −K, and non-empty anti-bicanonical linear system , −2K, . An example of a Coble surface is th ...
References
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*{{Citation , last1=Coble , first1=Arthur B. , title=Algebraic geometry and theta functions , origyear=1929 , publisher=
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, location=Providence, R.I. , series=American Mathematical Society Colloquium Publications , isbn=978-0-8218-1010-1 , mr=733252 , year=1982 , volume=10
Sextic curves