Homography (redirect from Fundamental theorem of projective geometry) In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces... 30 KB (3,558 words) - 01:24, 25 February 2024 |
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that... 39 KB (5,090 words) - 08:05, 12 March 2024 |
of noncommutative algebra Fundamental theorem of projective geometry Fundamental theorem of random fields Fundamental theorem of Riemannian geometry Fundamental... 5 KB (553 words) - 02:58, 16 December 2023 |
Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner geometry Spherical geometry Symplectic geometry Synthetic... 13 KB (912 words) - 16:57, 1 March 2024 |
In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions... 46 KB (5,587 words) - 19:24, 1 December 2023 |
theorems in Diophantine geometry that are of fundamental importance include: Mordell–Weil theorem Roth's theorem Siegel's theorem Faltings's theorem Serge... 8 KB (935 words) - 20:18, 2 February 2024 |
projective plane Complex projective space Plane at infinity, hyperplane at infinity Projective frame Projective transformation Fundamental theorem of... 7 KB (600 words) - 19:55, 10 January 2024 |
in favor of a purely synthetic development of projective geometry. For example, the treatment of the projective plane starting from axioms of incidence... 14 KB (1,738 words) - 11:40, 28 December 2023 |
principle of duality in projective geometry, among other fields. This meta-phenomenon can roughly be described as follows: in any theorem, exchange point... 100 KB (9,862 words) - 21:48, 22 March 2024 |
Collineation (category Projective geometry) In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to... 14 KB (1,739 words) - 15:24, 30 October 2023 |
making it an (smooth projective) algebraic curve. Under the name Riemann's existence theorem a deeper result on ramified coverings of a compact Riemann surface... 19 KB (2,422 words) - 13:44, 20 March 2024 |
not in general affine or projective. By Serre's GAGA theorem, every projective complex analytic variety is actually a projective complex algebraic variety... 26 KB (3,601 words) - 14:31, 7 September 2023 |
parallel to L that passes through P.) is fundamental in affine geometry. Comparisons of figures in affine geometry are made with affine transformations,... 20 KB (2,616 words) - 20:54, 28 March 2024 |
Anabelian geometry is a theory in number theory which describes the way in which the algebraic fundamental group G of a certain arithmetic variety X,... 11 KB (1,235 words) - 03:52, 9 March 2024 |
finite projective space of dimension three or greater is isomorphic to a projective space over a finite field (that is, the projectivization of a vector... 22 KB (2,825 words) - 08:06, 5 March 2024 |
and more specifically in projective geometry, a projective frame or projective basis is a tuple of points in a projective space that can be used for... 5 KB (759 words) - 07:56, 12 December 2023 |
Bézout's theorem is a statement in algebraic geometry concerning the number of common zeros of n polynomials in n indeterminates. In its original form... 23 KB (3,439 words) - 02:16, 15 March 2024 |
Hua's identity (category Theorems in algebra) homomorphism or an antihomomorphism. This theorem is connected to the fundamental theorem of projective geometry. One has ( a − a b a ) ( a − 1 + ( b − 1... 2 KB (326 words) - 12:07, 20 March 2024 |
differential geometry Line element Curvature Radius of curvature Osculating circle Curve Fenchel's theorem Theorema egregium Gauss–Bonnet theorem First fundamental... 8 KB (679 words) - 11:05, 12 February 2024 |
the complex projective plane, usually denoted P2(C) or CP2, is the two-dimensional complex projective space. It is a complex manifold of complex dimension... 3 KB (500 words) - 14:08, 10 March 2024 |
of derivatives and integrals in alternative calculi List of equations List of fundamental theorems List of hypotheses List of inequalities Lists of integrals... 73 KB (5,993 words) - 18:25, 28 February 2024 |
projective space plays a fundamental role in algebraic geometry. Nowadays, the projective space Pn of dimension n is usually defined as the set of the... 60 KB (7,374 words) - 08:44, 4 December 2023 |