Concepedia

Birational Geometry

Birational Geometry is a branch of algebraic geometry that studies algebraic varieties up to birational equivalence, focusing on properties preserved under rational maps with dense open images.

655

Publications

22.9K

Citations

606

Authors

325

Institutions

Publications per year

2017–2026

97

Parents

Publications

655

Algebraic geometry and arithmetic curves

Choice Reviews Online · 2003 · 595 citations

, , +15

BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (Cambridge Tracts in Mathematics 134)

P. Μ. H. Wilson · Bulletin of the London Mathematical Society · 2000 · 555 citations

, , +6

Semiorthogonal decomposition for algebraic varieties

Alexey Bondal, Dmitri Olegovich Orlov · ArXiv.org · 1995 · 385 citations · Full text

, , +9

Torification and factorization of birational maps

Dan Abramovich, Kalle Karu, Kenji Matsuki et al. · Journal of the American Mathematical Society · 2002 · 300 citations · Full text

, , +8

THREE-DIMENSIONAL QUARTICS AND COUNTEREXAMPLES TO THE LÜROTH PROBLEM

V A Iskovskih, Ju I Manin · Mathematics of the USSR-Sbornik · 1971 · 289 citations

, , +6

1–5 of 655

Authors

606

  1. IC
    Ivan Cheltsov

    University of Edinburgh, United Kingdom

    12 publications · 311 citations

    11

    h-index

  2. EB
    Eric Bedford

    Indiana University Bloomington, United States

    11 publications · 361 citations

    10

    h-index

  3. YT
    Yuri Tschinkel

    Courant Institute of Mathematical Sciences, United States

    9 publications · 236 citations

    9

    h-index

  4. CS
    Constantin Shramov

    Steklov Mathematical Institute, Russia

    8 publications · 254 citations

    8

    h-index

  5. CB
    Caucher Birkar

    University of Cambridge, United Kingdom

    7 publications · 231 citations

    7

    h-index

1–5 of 606

Institutions

325

  1. The University of Tokyo

    Tokyo, Japan

    14 h-index

    22 publications

    730 citations

  2. Steklov Mathematical Institute

    Moscow, Russia

    13 h-index

    20 publications

    748 citations

  3. University of Utah

    Salt Lake City, United States

    13 h-index

    17 publications

    863 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    26 publications

    589 citations

  5. University of Cambridge

    Cambridge, United Kingdom

    12 h-index

    15 publications

    1.1K citations

  6. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    11 h-index

    13 publications

    354 citations

  7. Fudan University

    Shanghai, China

    10 h-index

    11 publications

    236 citations

  8. Princeton University

    Princeton, United States

    10 h-index

    12 publications

    293 citations

1–8 of 325

Venues

  1. ArXiv.org

    Repository · 32 publications · 1.2K citations

    18

    h-index

  2. arXiv (Cornell University)

    Repository · 44 publications · 743 citations

    16

    h-index

  3. Mathematische Annalen

    20 publications · 654 citations

    15

    h-index

  4. Duke Mathematical Journal

    DMJ · 13 publications · 568 citations

    13

    h-index

  5. Compositio Mathematica

    17 publications · 529 citations

    13

    h-index

1–5