• 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...
    47 KB (5,681 words) - 20:08, 12 September 2024
  • respect to projective transformations, as is seen in perspective drawing from a changing perspective. One source for projective geometry was indeed the...
    39 KB (5,094 words) - 06:40, 31 August 2024
  • of mathematical duality Duality (optimization) Duality (order theory), a concept regarding binary relations Duality (projective geometry), general principle...
    3 KB (387 words) - 04:41, 14 March 2024
  • Thumbnail for Projective plane
    the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...
    51 KB (6,625 words) - 23:21, 9 September 2024
  • Thumbnail for Projective variety
    In algebraic geometry, a projective variety is an algebraic variety that is a closed subvariety of a projective space. That is, it is the zero-locus in...
    45 KB (7,499 words) - 08:50, 30 September 2024
  • projective geometry Duality (projective geometry) Real projective plane Real projective space Segre embedding of a product of projective spaces Rational normal...
    7 KB (600 words) - 19:55, 10 January 2024
  • In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...
    18 KB (3,295 words) - 07:35, 11 February 2024
  • Duality principle or principle of duality may refer to: Duality (projective geometry) Duality (order theory) Duality principle (Boolean algebra) Duality...
    567 bytes (87 words) - 19:24, 25 April 2018
  • Thumbnail for Finite geometry
    suggests the principle of duality for projective plane geometries, meaning that any true statement valid in all these geometries remains true if we exchange...
    22 KB (2,841 words) - 13:36, 12 April 2024
  • that the dual of A is A itself. For example, Desargues' theorem is self-dual in this sense under the standard duality in projective geometry. In mathematical...
    53 KB (6,701 words) - 16:16, 31 August 2024