Concepedia

Hilbert Series

The Hilbert Series is a formal power series that encodes the dimensions of the graded components of a finitely generated graded module over a graded ring, specifically distinguishing itself by capturing the algebraic structure and growth behavior of invariant rings under group actions in invariant theory.

314

Publications

12.3K

Citations

424

Authors

278

Institutions

Publications per year

2017–2026

72

Parents

Publications

314

Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants

Maxim Kontsevich, Yan Soibelman · Communications in Number Theory and Physics · 2011 · 360 citations · Full text

, , +12

Gröbner geometry of Schubert polynomials

Allen Knutson, Ezra Miller · Annals of Mathematics · 2005 · 303 citations · Full text

, , +15

A Hilbert space of Dirichlet series and systems of dilated functions in L2(0,1)

Håakan Hedenmalm, Peter Lindqvist, Kristian Seip · Duke Mathematical Journal · 1997 · 257 citations · Full text

, , +10

Monopole operators and Hilbert series of Coulomb branches of 3d $ \mathcal{N} $ = 4 gauge theories

Stefano Cremonesi, Amihay Hanany, Alberto Zaffaroni · Journal of High Energy Physics · 2014 · 245 citations · Full text

, , +13

Hilbert functions and symbolic powers.

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

, , +10

1–5 of 314

Authors

424

  1. AH
    Amihay Hanany

    Imperial College London, United Kingdom

    18 publications · 923 citations

    15

    h-index

  2. NM
    Noppadol Mekareeya

    University of Milano-Bicocca, Italy

    9 publications · 418 citations

    9

    h-index

  3. SC
    Stefano Cremonesi

    Imperial College London, United Kingdom

    6 publications · 521 citations

    6

    h-index

  4. VD
    Vesselin Drensky

    Bulgarian Academy of Sciences, Bulgaria

    6 publications · 286 citations

    6

    h-index

  5. AZ
    Alberto Zaffaroni

    University of Milano-Bicocca, Italy

    5 publications · 475 citations

    5

    h-index

1–5 of 424

Institutions

278

  1. Imperial College London

    London, United Kingdom

    21 h-index

    64 publications

    3.5K citations

  2. European Organization for Nuclear Research

    Geneva, Switzerland

    11 h-index

    11 publications

    555 citations

  3. University of Milano-Bicocca

    Milan, Italy

    10 h-index

    10 publications

    627 citations

  4. University of California, Berkeley

    Berkeley, United States

    10 h-index

    15 publications

    1.7K citations

  5. University of California San Diego

    San Diego, United States

    10 h-index

    15 publications

    503 citations

  6. University of Oxford

    Oxford, United Kingdom

    9 h-index

    12 publications

    311 citations

  7. Kavli Institute for the Physics and Mathematics of the Universe

    Kashiwa, Japan

    7 h-index

    12 publications

    694 citations

  8. The University of Tokyo

    Tokyo, Japan

    7 h-index

    12 publications

    694 citations

1–8 of 278

Venues

  1. Journal of High Energy Physics

    JHEP · 59 publications · 2.6K citations

    28

    h-index

  2. Journal of Algebra

    16 publications · 640 citations

    13

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 12 publications · 497 citations

    12

    h-index

  4. Journal of Pure and Applied Algebra

    10 publications · 254 citations

    10

    h-index

  5. arXiv (Cornell University)

    Repository · 9 publications · 190 citations

    9

    h-index

1–5