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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. (en) 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 . (es) 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 . (fr) В алгебраической геометрии кубическая поверхность — это алгебраическая поверхность, задаваемая однородным многочленом третьей степени в проективном пространстве . Мы можем принять или . (ru) В алгебричній геометрії кубічна поверхня — це алгебрична поверхня, що задається однорідним многочленом третього степеня в проєктивному просторі . Можна прийняти або . (uk) |
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wiki-commons:Special:FilePath/Clebsch_Cubic.png?width=300 |
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https://archive.org/details/undergraduatealg0000reid http://www.madore.org/cubic-dvd/ http://www.oliverlabs.net/data/vis_real_cs.pdf https://archive.org/stream/collectedmathema01cayluoft%23page/444/mode/2up http://demonstrations.wolfram.com/LinesOnACubicSurface/ |
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V.A. (en) |
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Cubic_surfaces (en) |
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Iskovskikh (en) |
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Cubic hypersurface (en) |
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| rdfs:comment |
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 . (es) 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 . (fr) В алгебраической геометрии кубическая поверхность — это алгебраическая поверхность, задаваемая однородным многочленом третьей степени в проективном пространстве . Мы можем принять или . (ru) В алгебричній геометрії кубічна поверхня — це алгебрична поверхня, що задається однорідним многочленом третього степеня в проєктивному просторі . Можна прийняти або . (uk) 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 (en) |
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Superficie cúbica (es) Cubic surface (en) Surface cubique (fr) Кубическая поверхность (ru) Кубічна поверхня (uk) |
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