Concepedia

Weighted Projective Spaces

Weighted Projective Space is a toric variety constructed as the quotient of affine space minus the origin by a weighted torus action, distinguished from standard projective space by allowing non-uniform scaling weights on the coordinates.

180

Publications

5.9K

Citations

250

Authors

174

Institutions

Publications per year

2017–2026

23

Variants

Weighted Projective Space

Parents

Publications

180

Calabi-Yau manifolds in weighted 4

Philip Candelas, M. Lynker, Rolf Schimmrigk · Nuclear Physics B · 1990 · 290 citations

, , +10

On the Hodge structure of projective hypersurfaces in toric varieties

Victor V. Batyrev · Duke Mathematical Journal · 1994 · 237 citations

, , +12

Mirror symmetry for weighted projective planes and their noncommutative deformations

Denis Auroux, Ludmil Katzarkov, Dmitri Olegovich Orlov · Annals of Mathematics · 2008 · 184 citations · Full text

, , +14

A projective description of weighted inductive limits

Klaus-D. Bierstedt, Reinhold Meise, W. H. Summers · Transactions of the American Mathematical Society · 1982 · 162 citations

, , +5

Principal bundles on elliptic fibrations

Ron Donagi · Asian Journal of Mathematics · 1997 · 141 citations · Full text

, , +13

1–5 of 180

Authors

250

  1. HL
    Helmut Lenzing

    Paderborn University, Germany

    6 publications · 226 citations

    6

    h-index

  2. ÉM
    Étienne Mann

    Université de Montpellier, France

    5 publications · 108 citations

    5

    h-index

  3. AK
    Alexander Kasprzyk

    Imperial College London, United Kingdom

    3 publications · 81 citations

    3

    h-index

  4. XC
    Xiao‐Wu Chen

    Chinese Academy of Sciences, China

    3 publications · 55 citations

    3

    h-index

  5. AC
    Alessio Corti

    Imperial College London, United Kingdom

    3 publications · 140 citations

    3

    h-index

1–5 of 250

Institutions

174

  1. Imperial College London

    London, United Kingdom

    7 h-index

    12 publications

    580 citations

  2. Paderborn University

    Paderborn, Germany

    7 h-index

    9 publications

    294 citations

  3. Steklov Mathematical Institute

    Moscow, Russia

    6 h-index

    7 publications

    359 citations

  4. Scuola Internazionale Superiore di Studi Avanzati

    Trieste, Italy

    5 h-index

    5 publications

    105 citations

  5. University of British Columbia

    Vancouver, Canada

    4 h-index

    5 publications

    238 citations

  6. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    4 h-index

    4 publications

    66 citations

  7. University of Michigan

    Ann Arbor, United States

    4 h-index

    5 publications

    161 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    4 publications

    49 citations

1–8 of 174

Venues

  1. ArXiv.org

    Repository · 16 publications · 447 citations

    13

    h-index

  2. arXiv (Cornell University)

    Repository · 16 publications · 302 citations

    12

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 5 publications · 304 citations

    5

    h-index

  4. Journal of High Energy Physics

    JHEP · 5 publications · 209 citations

    5

    h-index

  5. International Journal of Mathematics

    5 publications · 115 citations

    5

    h-index

1–5