proper quadric
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Intersection theory (mathematics) — In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring. The theory for varieties is … Wikipedia
Resolution of singularities — Strong desingularization of Observe that the resolution does not stop after the first blowing up, when the strict transform is smooth, but when it is simple normal crossings with the exceptional divisors. In algebraic geometry, the problem of… … Wikipedia
Enumerative geometry — In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection theory.HistoryThe problem of Apollonius is one of the earliest examples… … Wikipedia
Alhazen — For the Moon crater, see Alhazen (crater). For the asteroid, see 59239 Alhazen. Alhazen Alhazen (Ibn al Haytham) … Wikipedia
Enriques-Kodaira classification — In mathematics, the Enriques Kodaira classification is a classification of compact complex surfaces. For complex projective surfaces it was done by Federigo Enriques, and Kunihiko Kodaira later extended it to non algebraic compact surfaces. It… … Wikipedia
hyperbolic paraboloid — noun Date: 1842 a saddle shaped quadric surface whose sections by planes parallel to one coordinate plane are hyperbolas while those sections by planes parallel to the other two are parabolas if proper orientation of the coordinate axes is… … New Collegiate Dictionary
hyperboloid — noun Date: 1743 a quadric surface whose sections by planes parallel to one coordinate plane are ellipses while those sections by planes parallel to the other two are hyperbolas if proper orientation of the axes is assumed • hyperboloidal… … New Collegiate Dictionary
Color vision — White light shone onto a green surface is perceived as green by the human eye, and processed as such in the brain s visual cortex … Wikipedia
Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… … Wikipedia
Rational singularity — In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map :f : Y ightarrow X from a… … Wikipedia
Hypercone — of a spherical cone s generatrices (red), parallels (green) and hypermeridians (blue).Due to conformal property of Stereographic Projection,the curves intersect each other orthogonally (in the yellow points) as in 4D.All curves are circles or… … Wikipedia
