Concepedia

Projective Completion

Projective Completion is a mathematical framework in projective geometry that extends an affine space by adjoining points at infinity to ensure that every pair of lines intersects at exactly one point, thereby completing the space under projective transformations.

103

Publications

3.8K

Citations

166

Authors

123

Institutions

Publications per year

2017–2026

4

Variants

Projective Closure

Parents

Publications

103

Equivariant $K$-theory and completion

Michael Atiyah, Graeme Segal · Journal of Differential Geometry · 1969 · 430 citations · Full text

, , +6

Equivariant completion

Hideyasu Sumihiro · Kyoto journal of mathematics · 1974 · 267 citations · Full text

, , +3

Varieties of small codimension in projective space

Robin Hartshorne · Bulletin of the American Mathematical Society · 1974 · 239 citations · Full text

, , +11

Categorical characterization of the MacNeille completion

Bernhard Banaschewski, Günter Bruns · Archiv der Mathematik · 1967 · 156 citations

, , +7

Regular and exact completions

A. Carboni, E. M. Vitale · Journal of Pure and Applied Algebra · 1998 · 141 citations

, , +4

1–5 of 103

Authors

166

  1. KN
    Karl‐Hermann Neeb

    Technische Universität Darmstadt, Germany

    2 publications · 69 citations

    2

    h-index

  2. AC
    A. Carboni

    University of Milan, Italy

    2 publications · 200 citations

    2

    h-index

  3. BV
    Benno van den Berg

    Erasmus University Rotterdam, Netherlands

    2 publications · 38 citations

    2

    h-index

  4. IM
    Ieke Moerdijk

    Utrecht University, Netherlands

    2 publications · 38 citations

    2

    h-index

  5. MH
    Marshall Hall

    California Institute of Technology, United States

    2 publications · 67 citations

    2

    h-index

1–5 of 166

Institutions

123

  1. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    5 publications

    72 citations

  2. University of Chicago

    Chicago, United States

    3 h-index

    3 publications

    143 citations

  3. Technische Universität Darmstadt

    Darmstadt, Germany

    3 h-index

    3 publications

    93 citations

  4. Utrecht University

    Utrecht, The Netherlands

    2 h-index

    2 publications

    38 citations

  5. University of Oxford

    Oxford, United Kingdom

    2 h-index

    3 publications

    148 citations

  6. Institut Élie Cartan de Lorraine

    Vandœuvre-lès-Nancy, France

    2 h-index

    2 publications

    69 citations

  7. University of Warsaw

    Warsaw, Poland

    2 h-index

    2 publications

    65 citations

  8. Université de Lorraine

    Nancy, France

    2 h-index

    2 publications

    69 citations

1–8 of 123

Venues

  1. Journal of Algebra

    11 publications · 246 citations

    11

    h-index

  2. Journal of Pure and Applied Algebra

    6 publications · 299 citations

    6

    h-index

  3. Geometriae Dedicata

    5 publications · 132 citations

    5

    h-index

  4. Pacific Journal of Mathematics

    4 publications · 162 citations

    4

    h-index

  5. Journal of the London Mathematical Society

    3 publications · 38 citations

    3

    h-index

1–5