A cubic surface is a projective variety studied in algebraic geometry. It is an algebraic surface in three-dimensional projective space defined by a single quaternary cubic polynomial which is homogeneous of degree 3 (hence, cubic). Cubic surfaces are del Pezzo surfaces.
Other articles related to "surfaces, surface, cubic, cubic surface, cubic surfaces":
... Fano surfaces are perhaps the simplest and most studied examples of irregular surfaces of general type that are not related to a product of two curves and are not a ... The Fano surface S of a smooth cubic threefold F into P4 carries many remarkable geometric properties ... The surface S is naturally embedded into the grassmannian of lines G(2,5) of P4 ...
... In 1884, Montgomery switched to a curved wing surface glider ... The innovation in design was "hinged surfaces at the rear of the wings to maintain lateral balance" ... The 170-foot (52 m) long, 66,000 cubic feet (1,900 m3) airship, electric-powered with a 435 kg battery completed a flight that covered 8 km (5.0 mi ...
... An example of a singular cubic is Cayley's nodal cubic surface with 4 nodal singular points at and its permutations ... Singular cubic surfaces also contain rational lines, and the number and arrangement of the lines is related to the type of the singularity ... The singular cubic surfaces were classified by Schlafli (1863), and his classification was described by Cayley (1869) and Bruce Wall (1979) ...
Famous quotes containing the words surface and/or cubic:
“Brave men are all vertebrates; they have their softness on the surface and their toughness in the middle.”
—Gilbert Keith Chesterton (18741936)
“One of the great natural phenomena is the way in which a tube of toothpaste suddenly empties itself when it hears that you are planning a trip, so that when you come to pack it is just a twisted shell of its former self, with not even a cubic millimeter left to be squeezed out.”
—Robert Benchley (18891945)