Concepedia

Cremona Transformation

A Cremona Transformation is a birational automorphism of a projective space, distinguished by being defined by homogeneous polynomial maps that are invertible in the category of rational maps.

81

Publications

2.7K

Citations

78

Authors

66

Institutions

Publications per year

2017–2026

13

Parents

Publications

81

On rational surfaces, II

Masayoshi Nagata · Kyoto journal of mathematics · 1960 · 256 citations · Full text

, , +8

Reduction of the Singularities of an Algebraic Surface

Robert J. Walker · Annals of Mathematics · 1935 · 177 citations

, , +8

On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$

Masayoshi Nagata · Kyoto journal of mathematics · 1960 · 139 citations · Full text

, , +9

Some Special Cremona Transformations

Lawrence Ein, N. I. Shepherd‐Barron · American Journal of Mathematics · 1989 · 120 citations

, , +11

Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements

Alexandru Dimca, Ştefan Papadima · Annals of Mathematics · 2003 · 118 citations · Full text

, , +13

1–5 of 81

Authors

78

  1. VU
    Vasyl Ustimenko

    Maria Curie-Skłodowska University, Poland

    4 publications · 45 citations

    5

    h-index

  2. AS
    Aron Simis

    Universidade Federal de Pernambuco, Brazil

    3 publications · 111 citations

    4

    h-index

  3. FR
    Francesco Russo

    University of Catania, Italy

    3 publications · 41 citations

    4

    h-index

  4. JB
    Jérémy Blanc

    University of Basel, Switzerland

    3 publications · 57 citations

    3

    h-index

  5. IP
    Iván Pan

    Universidade Federal do Rio Grande do Sul, Brazil

    3 publications · 49 citations

    3

    h-index

1–5 of 78

Institutions

66

  1. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    9 publications

    379 citations

  2. University of Ferrara

    Ferrara, Italy

    5 h-index

    9 publications

    145 citations

  3. Universidade Federal de Pernambuco

    Recife, Brazil

    5 h-index

    5 publications

    167 citations

  4. Institut de recherche mathématique de Rennes

    Rennes, France

    3 h-index

    3 publications

    55 citations

  5. Université de Rennes

    Rennes, France

    3 h-index

    3 publications

    127 citations

  6. Université Grenoble Alpes

    Saint-Martin-d'Hères, France

    2 h-index

    2 publications

    48 citations

  7. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    2 h-index

    2 publications

    96 citations

  8. Universidade Federal do Rio Grande do Sul

    Porto Alegre, Brazil

    2 h-index

    2 publications

    34 citations

1–8 of 66

Venues

  1. Journal of Algebra

    5 publications · 179 citations

    5

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 5 publications · 163 citations

    5

    h-index

  3. arXiv (Cornell University)

    Repository · 4 publications · 51 citations

    5

    h-index

  4. Compositio Mathematica

    3 publications · 78 citations

    4

    h-index

  5. Kyoto journal of mathematics

    3 publications · 433 citations

    3

    h-index

1–5