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 ...
, a Châtelet surface is a
rational surface
In algebraic geometry, a branch of mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sc ...
studied by given by an equation
:
where ''P'' has degree 3 or 4. They are
conic bundles.
References
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{{DEFAULTSORT:Chatelet Surface
Algebraic surfaces
Complex surfaces