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- Quartic_surface abstract "In mathematics, especially in algebraic geometry, a quartic surface is a surface defined by an equation of degree 4.More specifically there are two closely related types of quartic surface: affine and projective. An affine quartic surface is the solution set of an equation of the formwhere f is a polynomial of degree 4, such as f(x,y,z) = x4 + y4 + xyz + z2 − 1. This is a surface in affine space.On the other hand, a projective quartic surface is a surface in projective space P3 of the same form, but now f is a homogeneous polynomial of 4 variables of degree 4, so for example f(x,y,z,w) = x4 + y4 + xyzw + z2w2 − w4.If the base field in R or C the surface is said to be real or complex. If on the other hand the base field is finite, then it is said to be an arithmetic quartic surface.".
- Quartic_surface wikiPageExternalLink text-idx?c=math;idno=04290002.
- Quartic_surface wikiPageExternalLink 184605691.
- Quartic_surface wikiPageID "20133775".
- Quartic_surface wikiPageRevisionID "487032323".
- Quartic_surface hasPhotoCollection Quartic_surface.
- Quartic_surface subject Category:Algebraic_surfaces.
- Quartic_surface subject Category:Complex_surfaces.
- Quartic_surface type AlgebraicSurfaces.
- Quartic_surface type Artifact100021939.
- Quartic_surface type ComplexSurfaces.
- Quartic_surface type Object100002684.
- Quartic_surface type PhysicalEntity100001930.
- Quartic_surface type Surface104362025.
- Quartic_surface type Whole100003553.
- Quartic_surface comment "In mathematics, especially in algebraic geometry, a quartic surface is a surface defined by an equation of degree 4.More specifically there are two closely related types of quartic surface: affine and projective. An affine quartic surface is the solution set of an equation of the formwhere f is a polynomial of degree 4, such as f(x,y,z) = x4 + y4 + xyz + z2 − 1.".
- Quartic_surface label "Quartic surface".
- Quartic_surface sameAs m.04y7g31.
- Quartic_surface sameAs Q7269363.
- Quartic_surface sameAs Q7269363.
- Quartic_surface sameAs Quartic_surface.
- Quartic_surface wasDerivedFrom Quartic_surface?oldid=487032323.
- Quartic_surface isPrimaryTopicOf Quartic_surface.