Concepedia

Syzygy Computation

Syzygy Computation is a method in computational algebra that systematically determines the module of relations (syzygies) among a given set of generators in a polynomial ring or free module, typically through algorithmic Gröbner basis techniques.

72

Publications

2.8K

Citations

114

Authors

83

Institutions

Publications per year

2017–2026

7

Parents

Publications

72

Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension

Lawrence Ein, Robert Lazarsfeld · Inventiones mathematicae · 1993 · 175 citations

, , +13

Trees, parking functions, syzygies, and deformations of monomial ideals

Alexander Postnikov, Boris Shapiro · Transactions of the American Mathematical Society · 2004 · 174 citations · Full text

, , +10

Efficient Solvers for Minimal Problems by Syzygy-Based Reduction

Viktor Larsson, Kalle Åström, Magnus Oskarsson · 2017 · 139 citations · Full text

, , +9

Some results on the syzygies of finite sets and algebraic curves

M. Green, Robert Lazarsfeld · French digital mathematics library (Numdam) · 1988 · 133 citations

, , +12

The Alternating Syzygy Behavior of Monomial Algebras

Michael Bardzell · Journal of Algebra · 1997 · 123 citations

, , +12

1–5 of 72

Authors

114

  1. RL
    Robert Lazarsfeld

    University of Illinois Chicago, United States

    5 publications · 448 citations

    5

    h-index

  2. MS
    Michael Stillman

    Cornell University, United States

    4 publications · 234 citations

    4

    h-index

  3. LE
    Lawrence Ein

    University of Illinois Chicago, United States

    3 publications · 285 citations

    3

    h-index

  4. AS
    Aron Simis

    Universidade Federal de Pernambuco, Brazil

    3 publications · 136 citations

    3

    h-index

  5. FS
    Frank–Olaf Schreyer

    Saarland University, Germany

    2 publications · 41 citations

    3

    h-index

1–5 of 114

Institutions

83

  1. Brandeis University

    Waltham, United States

    7 h-index

    8 publications

    242 citations

  2. University of Illinois Chicago

    Chicago, United States

    3 h-index

    3 publications

    285 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    3 publications

    198 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    2 publications

    40 citations

  5. University of Michigan

    Ann Arbor, United States

    3 h-index

    4 publications

    143 citations

  6. University of Pittsburgh

    Pittsburgh, United States

    2 h-index

    2 publications

    25 citations

  7. Osnabrück University

    Osnabrück, Germany

    2 h-index

    3 publications

    117 citations

  8. Columbia University

    New York, United States

    2 h-index

    3 publications

    264 citations

1–8 of 83

Venues

  1. Journal of Algebra

    12 publications · 403 citations

    11

    h-index

  2. Inventiones mathematicae

    5 publications · 328 citations

    5

    h-index

  3. Journal of Symbolic Computation

    4 publications · 248 citations

    4

    h-index

  4. American Journal of Mathematics

    2 publications · 131 citations

    2

    h-index

  5. Journal of Pure and Applied Algebra

    2 publications · 148 citations

    2

    h-index

1–5