Concepedia

Hilbert Function Computation

Hilbert Function Computation is a method in computational algebra that calculates the Hilbert function of a graded module over a polynomial ring by determining the dimensions of its graded components as vector spaces over the base field.

114

Publications

4.9K

Citations

151

Authors

109

Institutions

Publications per year

2017–2026

6

Parents

Publications

114

Hilbert functions of graded algebras

Richard P. Stanley · Advances in Mathematics · 1978 · 894 citations

, , +9

Positive line bundles on arithmetic varieties

Shou-Wu Zhang · Journal of the American Mathematical Society · 1995 · 243 citations · Full text

, , +10

Hilbert functions and symbolic powers.

Craig Huneke · The Michigan Mathematical Journal · 1987 · 216 citations · Full text

, , +10

Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Bases

Peter Gritzmann, Bernd Sturmfels · SIAM Journal on Discrete Mathematics · 1993 · 195 citations

, , +13

Maximum betti numbers of homogeneous ideals with a given hilbert function

Heather Hulett · Communications in Algebra · 1993 · 188 citations

, , +4

1–5 of 114

Authors

151

  1. AV
    Anthony V. Geramita

    Queen's University, Canada

    6 publications · 242 citations

    6

    h-index

  2. AV
    Adam Van Tuyl

    Lakehead University, Canada

    6 publications · 177 citations

    6

    h-index

  3. IP
    Irena Peeva

    Cornell University, United States

    4 publications · 175 citations

    4

    h-index

  4. AC
    Aldo Conca

    University of Genoa, Italy

    4 publications · 103 citations

    4

    h-index

  5. YS
    Yong Su Shin

    Queen's University, Canada

    4 publications · 78 citations

    4

    h-index

1–5 of 151

Institutions

109

  1. University of Genoa

    Genoa, Italy

    13 h-index

    24 publications

    488 citations

  2. Queen's University

    Kingston, Canada

    8 h-index

    11 publications

    482 citations

  3. Cornell University

    Ithaca, United States

    5 h-index

    9 publications

    412 citations

  4. Lakehead University

    Thunder Bay, Canada

    5 h-index

    5 publications

    166 citations

  5. University of Notre Dame

    Notre Dame, United States

    5 h-index

    5 publications

    88 citations

  6. Indian Institute of Technology Bombay

    Mumbai, India

    3 h-index

    4 publications

    68 citations

  7. University of Catania

    Catania, Italy

    3 h-index

    4 publications

    210 citations

  8. Institute of Mathematical Sciences

    Chennai, India

    3 h-index

    4 publications

    76 citations

1–8 of 109

Venues

  1. Journal of Pure and Applied Algebra

    13 publications · 382 citations

    12

    h-index

  2. Journal of Algebra

    15 publications · 317 citations

    12

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 9 publications · 249 citations

    9

    h-index

  4. Communications in Algebra

    6 publications · 309 citations

    6

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 5 publications · 101 citations

    5

    h-index

1–5