Concepedia

Jacobian Varieties

Jacobian Variety is an abelian variety associated with a smooth projective algebraic curve, defined as the moduli space of degree zero line bundles on the curve, thereby serving as a natural geometric incarnation of the curve’s Picard group.

307

Publications

10.8K

Citations

303

Authors

194

Institutions

Publications per year

2017–2026

20

Variants

Jacobian Variety

Parents

Publications

307

The Intermediate Jacobian of the Cubic Threefold

C. Herbert Clemens, Phillip Griffiths · Annals of Mathematics · 1972 · 804 citations

, , +16

Characterization of Jacobian varieties in terms of soliton equations

Takahiro Shiota · Inventiones mathematicae · 1986 · 319 citations

, , +12

Divisors on general curves and cuspidal rational curves

David Eisenbud, Joseph Harris · Inventiones mathematicae · 1983 · 212 citations

, , +10

A new six-dimensional irreducible symplectic variety

Kieran G. O’Grady · Journal of Algebraic Geometry · 2003 · 192 citations

, , +9

Cohomological structure in soliton equations and Jacobian varieties

Motohico Mulase · Journal of Differential Geometry · 1984 · 159 citations · Full text

, , +15

1–5 of 307

Authors

303

  1. YG
    Yuri G. Zarhin

    Pennsylvania State University, United States

    7 publications · 187 citations

    7

    h-index

  2. NB
    Nils Bruin

    Simon Fraser University, Canada

    5 publications · 161 citations

    5

    h-index

  3. EM
    Eyal Markman

    University of Massachusetts Amherst, United States

    5 publications · 134 citations

    5

    h-index

  4. EW
    Everett W. Howe

    CCI Reprographics (United States), United States

    5 publications · 193 citations

    5

    h-index

  5. EV
    E. V. Flynn

    University of Liverpool, United Kingdom

    5 publications · 160 citations

    5

    h-index

1–5 of 303

Institutions

194

  1. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    7 publications

    118 citations

  2. Pennsylvania State University

    State College, United States

    8 h-index

    9 publications

    209 citations

  3. Simon Fraser University

    Burnaby, Canada

    7 h-index

    8 publications

    230 citations

  4. University of California, Berkeley

    Berkeley, United States

    7 h-index

    13 publications

    353 citations

  5. Université Côte d'Azur

    Nice, France

    7 h-index

    7 publications

    172 citations

  6. Princeton University

    Princeton, United States

    7 h-index

    7 publications

    350 citations

  7. Max Planck Institute for Mathematics

    Bonn, Germany

    6 h-index

    7 publications

    141 citations

  8. Roma Tre University

    Rome, Italy

    5 h-index

    5 publications

    126 citations

1–8 of 194

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 13 publications · 589 citations

    13

    h-index

  2. Annals of Mathematics

    12 publications · 1.5K citations

    12

    h-index

  3. Inventiones mathematicae

    11 publications · 891 citations

    11

    h-index

  4. Compositio Mathematica

    9 publications · 216 citations

    11

    h-index

  5. American Journal of Mathematics

    11 publications · 608 citations

    11

    h-index

1–5