Algebraic varieties | Algebraic geometry

Conic bundle

In algebraic geometry, a conic bundle is an algebraic variety that appears as a solution of a Cartesian equation of the form Theoretically, it can be considered as a Severi–Brauer surface, or more precisely as a Châtelet surface. This can be a double covering of a ruled surface. Through an isomorphism, it can be associated with a symbol in the second Galois cohomology of the field . In fact, it is a surface with a well-understood divisor class group and simplest cases share with Del Pezzo surfaces the property of being a rational surface. But many problems of contemporary mathematics remain open, notably (for those examples which are not rational) the question of unirationality. (Wikipedia).

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Related pages

Algebraic surface | Isomorphism | Projective space | Châtelet surface | Galois cohomology | Quadratic form | List of complex and algebraic surfaces | Rational surface | Unirationality | Reciprocal polynomial | Algebraic geometry | Ruled surface | Algebraic variety | Homogeneous coordinates | Del Pezzo surface