Concepedia

Projective Duality

Projective Duality is a fundamental principle in projective geometry whereby there exists a symmetric correspondence between points and lines (in two dimensions) or more generally between subspaces of complementary dimensions in a projective space, such that every theorem or configuration has a dual theorem or configuration obtained by interchanging the roles of incidence-preserving geometric elements.

48

Publications

1.4K

Citations

76

Authors

55

Institutions

Publications per year

2017–2026

8

Variants

Principle Of Duality

Parents

Publications

48

Oriented projective geometry: a framework for geometric computations

Choice Reviews Online · 1992 · 148 citations

, , +17

Semiorthogonal decompositions in algebraic geometry

Alexander Kuznetsov · arXiv (Cornell University) · 2014 · 106 citations · Full text

, , +12

Homological projective duality for Grassmannians of lines

Alexander Kuznetsov · ArXiv.org · 2006 · 104 citations · Full text

, , +13

(2+1)D exotic Newton–Hooke symmetry, duality and projective phase

Pedro D. Alvarez, Joaquim Gomis, Kiyoshi Kamimura et al. · Annals of Physics · 2007 · 88 citations · Full text

, , +7

Homogeneity of Projective Planes

Reinhold Baer · American Journal of Mathematics · 1942 · 75 citations

, , +14

1–5 of 48

Authors

76

  1. YX
    Ying Xie

    Chinese University of Hong Kong, Hong Kong SAR China

    2 publications · 25 citations

    2

    h-index

  2. LK
    Ludmil Katzarkov

    University of Miami, United States

    2 publications · 42 citations

    2

    h-index

  3. QJ
    Qingyuan Jiang

    University of Edinburgh, United Kingdom

    2 publications · 25 citations

    2

    h-index

  4. DF
    Daniele Faenzi

    Université de Pau et des Pays de l'Adour, France

    2 publications · 80 citations

    2

    h-index

  5. NC
    Naichung Conan Leung

    Chinese University of Hong Kong, Hong Kong SAR China

    2 publications · 25 citations

    2

    h-index

1–5 of 76

Institutions

55

  1. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    5 publications

    87 citations

  2. University of Alberta

    Edmonton, Canada

    2 h-index

    2 publications

    42 citations

  3. University of South Carolina

    Columbia, United States

    2 h-index

    2 publications

    42 citations

  4. University of Geneva

    Geneva, Switzerland

    2 h-index

    3 publications

    50 citations

  5. Mathematics Research Center

    Guanajuato City, Mexico

    2 h-index

    3 publications

    54 citations

  6. University of Vienna

    Vienna, Austria

    2 h-index

    6 publications

    126 citations

  7. Center for Theoretical Physics

    Warsaw, Poland

    1 h-index

    1 publications

    22 citations

  8. Siemens (Germany)

    Munich, Germany

    1 h-index

    1 publications

    13 citations

1–8 of 55

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 162 citations

    5

    h-index

  2. ArXiv.org

    Repository · 3 publications · 151 citations

    3

    h-index

  3. Duke Mathematical Journal

    DMJ · 2 publications · 52 citations

    2

    h-index

  4. Journal of the European Mathematical Society

    JEMS · 2 publications · 32 citations

    2

    h-index

  5. Advances in Mathematics

    2 publications · 51 citations

    2

    h-index

1–5