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In mathematics, a cubic surface is a surfa … In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space, and so cubic surfaces are generally considered in projective 3-space . The theory also becomes more uniform by focusing on surfaces over the complex numbers rather than the real numbers; note that a complex surface has real dimension 4. A simple example is the Fermat cubic surface in . Many properties of cubic surfaces hold more generally for del Pezzo surfaces.old more generally for del Pezzo surfaces.
, En géométrie algébrique, une surface cubique est une variété algébrique surfacique. C'est donc une surface définie par un polynôme homogène de degré 3, dans l'espace projectif . On peut prendre par exemple égal à ou .
, В алгебраической геометрии кубическая поверхность — это алгебраическая поверхность, задаваемая однородным многочленом третьей степени в проективном пространстве . Мы можем принять или .
, Una superficie cúbica es un estudiado en geometría algebraica. Es una en el espacio proyectivo tridimensional definido por un solo polinomio cúbico cuaternario homogéneo de grado 3 (por lo tanto, cúbico). Las superficies cúbicas son .
, В алгебричній геометрії кубічна поверхня — це алгебрична поверхня, що задається однорідним многочленом третього степеня в проєктивному просторі . Можна прийняти або .
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В алгебраической геометрии кубическая поверхность — это алгебраическая поверхность, задаваемая однородным многочленом третьей степени в проективном пространстве . Мы можем принять или .
, In mathematics, a cubic surface is a surfa … In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space, and so cubic surfaces are generally considered in projective 3-space . The theory also becomes more uniform by focusing on surfaces over the complex numbers rather than the real numbers; note that a complex surface has real dimension 4. A simple example is the Fermat cubic surfacesimple example is the Fermat cubic surface
, Una superficie cúbica es un estudiado en geometría algebraica. Es una en el espacio proyectivo tridimensional definido por un solo polinomio cúbico cuaternario homogéneo de grado 3 (por lo tanto, cúbico). Las superficies cúbicas son .
, В алгебричній геометрії кубічна поверхня — це алгебрична поверхня, що задається однорідним многочленом третього степеня в проєктивному просторі . Можна прийняти або .
, En géométrie algébrique, une surface cubique est une variété algébrique surfacique. C'est donc une surface définie par un polynôme homogène de degré 3, dans l'espace projectif . On peut prendre par exemple égal à ou .
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Кубическая поверхность
, Surface cubique
, Кубічна поверхня
, Cubic surface
, Superficie cúbica
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