Concepedia

Koszul Complexes

Koszul Complexes is a chain complex of free modules over a commutative ring, constructed from a sequence of elements in the ring, distinguished by its role in resolving the quotient of the ring by the ideal generated by the sequence when the sequence is regular.

246

Publications

11K

Citations

308

Authors

216

Institutions

Publications per year

2017–2026

16

Variants

Koszul Complex

Parents

Publications

246

Equivariant cohomology, Koszul duality, and the localization theorem

Mark Goresky, Robert Kottwitz, Robert MacPherson · Inventiones mathematicae · 1997 · 707 citations

, , +14

Koszul cohomology and the geometry of projective varieties

Mark L. Green · Journal of Differential Geometry · 1984 · 592 citations · Full text

, , +14

Schur functors and Schur complexes

David A. Buchsbaum, Jerzy Weyman · Advances in Mathematics · 1982 · 362 citations

, , +12

Ideals defined by matrices and a certain complex associated with them

J. A. Eagon, D. G. Northcott · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1962 · 343 citations

, , +12

Koszul resolutions

Stewart Priddy · Transactions of the American Mathematical Society · 1970 · 327 citations · Full text

, , +15

1–5 of 246

Authors

308

  1. DA
    David A. Buchsbaum

    Brandeis University, United States

    7 publications · 782 citations

    7

    h-index

  2. AD
    Alexandru Dimca

    Université Côte d'Azur, France

    5 publications · 131 citations

    5

    h-index

  3. LL
    Luchézar L. Avramov

    Purdue University West Lafayette, United States

    4 publications · 166 citations

    4

    h-index

  4. DS
    Dock Sang Rim

    University of Pennsylvania, United States

    4 publications · 357 citations

    4

    h-index

  5. RB
    Roland Berger

    Inserm, France

    4 publications · 393 citations

    4

    h-index

1–5 of 308

Institutions

216

  1. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    12 publications

    419 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    7 publications

    188 citations

  3. University of Oregon

    Eugene, United States

    6 h-index

    8 publications

    247 citations

  4. Stanford University

    Stanford, United States

    6 h-index

    7 publications

    213 citations

  5. Texas A&M University

    College Station, United States

    5 h-index

    5 publications

    126 citations

  6. Université de Montpellier

    Montpellier, France

    4 h-index

    4 publications

    84 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    4 h-index

    6 publications

    188 citations

  8. University of Sheffield

    Sheffield, United Kingdom

    4 h-index

    6 publications

    831 citations

1–8 of 216

Venues

  1. Journal of Algebra

    33 publications · 1.6K citations

    21

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 15 publications · 1.2K citations

    14

    h-index

  3. Advances in Mathematics

    14 publications · 922 citations

    14

    h-index

  4. Communications in Algebra

    11 publications · 412 citations

    11

    h-index

  5. arXiv (Cornell University)

    Repository · 13 publications · 251 citations

    11

    h-index

1–5