Concepedia

Toric Geometry

Toric Geometry is a branch of algebraic geometry that studies algebraic varieties equipped with an action of an algebraic torus, distinguished by the presence of a dense open orbit under this action.

2.7K

Publications

124.3K

Citations

3.1K

Authors

1.1K

Institutions

Publications per year

2017–2026

316

Parents

Children

Publications

2.7K

Noncommutative Geometry and Matrix Theory: Compactification on Tori

Alain Connes, Michael R. Douglas, Albert Schwarz · arXiv (Cornell University) · 1997 · 1.3K citations · Full text

, , +14

Mirror Symmetry is T-Duality

1996 · 1.1K citations

, , +11

Introduction to the Minimal Model Problem

Yūjirō Kawamata, Katsumi Matsuda, Kenji Matsuki · Advanced studies in pure mathematics · 2018 · 1K citations

, , +12

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Victor V. Batyrev · ArXiv.org · 1993 · 993 citations · Full text

, , +12

THE GEOMETRY OF TORIC VARIETIES

V. I. Danilov · Russian Mathematical Surveys · 1978 · 925 citations

, , +16

1–5 of 2.7K

Authors

3.1K

  1. BS
    Bernd Sturmfels

    University of California, Berkeley, United States

    24 publications · 1.7K citations

    19

    h-index

  2. VV
    Victor V. Batyrev

    University of Tübingen, Germany

    18 publications · 2.6K citations

    17

    h-index

  3. YH
    Yang‐Hui He

    University of Oxford, United Kingdom

    15 publications · 1.2K citations

    13

    h-index

  4. MK
    Maximilian Kreuzer

    TU Wien, Austria

    13 publications · 1.2K citations

    13

    h-index

  5. SP
    Sam Payne

    Yale University, United States

    11 publications · 637 citations

    11

    h-index

1–5 of 3.1K

Institutions

1.1K

  1. Massachusetts Institute of Technology

    Cambridge, United States

    35 h-index

    83 publications

    9.2K citations

  2. University of California, Berkeley

    Berkeley, United States

    30 h-index

    75 publications

    4.8K citations

  3. Princeton University

    Princeton, United States

    28 h-index

    57 publications

    5.7K citations

  4. Institute for Advanced Study

    Princeton, United States

    26 h-index

    40 publications

    2.6K citations

  5. The University of Tokyo

    Tokyo, Japan

    25 h-index

    61 publications

    2.1K citations

  6. Imperial College London

    London, United Kingdom

    24 h-index

    60 publications

    2.4K citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    23 h-index

    72 publications

    1.9K citations

  8. Harvard University

    Cambridge, United States

    22 h-index

    52 publications

    4K citations

1–8 of 1.1K

Venues

  1. Inventiones mathematicae

    95 publications · 8.5K citations

    51

    h-index

  2. Journal of High Energy Physics

    JHEP · 132 publications · 7.6K citations

    46

    h-index

  3. Advances in Mathematics

    85 publications · 3.6K citations

    36

    h-index

  4. Mathematische Annalen

    67 publications · 4.2K citations

    34

    h-index

  5. ArXiv.org

    Repository · 104 publications · 4.5K citations

    32

    h-index

1–5