Graded Ring Database

The Graded Ring Database (GRDB) is an online resource for researchers in geometry and combinatorics that combines several major classifications in those areas. It contains large databases of geometric data, including the classification of all toric canonical 3-folds, Calabi–Yau 3-fold hypersurfaces, and candidate Hilbert series for Fano 4- and 5-folds. It also contains combinatorial data such as the classification of LDP polygons and the smooth Fano polytopes. These classifications can be queried using the forms on the website, or via an easy-to-use XML interface.

References in zbMATH (referenced in 20 articles )

Showing results 1 to 20 of 20.
Sorted by year (citations)

  1. Brown, Gavin; Kasprzyk, Alexander M.; Qureshi, Muhammad Imran: Fano 3-folds in $\mathbbP^2\times\mathbbP^2$ format, Tom and Jerry (2018)
  2. Brown, Gavin; Georgiadis, Konstantinos: Polarized Calabi-Yau 3-folds in codimension 4 (2017)
  3. Jiang, Chen: $K$-semistable Fano manifolds with the smallest alpha invariant (2017)
  4. Qureshi, Muhammad Imran: Computing isolated orbifolds in weighted flag varieties (2017)
  5. Ahmadinezhad, Hamid; Zucconi, Francesco: Mori dream spaces and birational rigidity of Fano 3-folds (2016)
  6. Christophersen, Jan Arthur; Ilten, Nathan: Hilbert schemes and toric degenerations for low degree Fano threefolds (2016)
  7. Prokhorov, Yuri G.: $\mathbbQ$-Fano threefolds of index 7 (2016)
  8. Lorenz, Benjamin; Nill, Benjamin: On smooth Gorenstein polytopes (2015)
  9. Assarf, Benjamin; Joswig, Michael; Paffenholz, Andreas: Smooth Fano polytopes with many vertices (2014)
  10. Okada, Takuzo: Birational mori fiber structures of $\mathbbQ$-Fano 3-fold weighted complete intersections (2014)
  11. Brown, Gavin; Kasprzyk, Alexander M.: Seven new champion linear codes (2013)
  12. Corti, Alessio; Haskins, Mark; Nordström, Johannes; Pacini, Tommaso: Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds (2013)
  13. Neves, Jorge; Papadakis, Stavros Argyrios: Parallel Kustin-Miller unprojection with an application to Calabi-Yau geometry (2013)
  14. Prokhorov, Yu G.: Fano threefolds of large Fano index and large degree (2013)
  15. Qureshi, Muhammad Imran; Szendrői, Balázs: Constructing projective varieties in weighted flag varieties (2011)
  16. Brown, Gavin; Zucconi, Francesco: Graded rings of rank 2 Sarkisov links (2010)
  17. Kasprzyk, Alexander M.; Kreuzer, Maximilian; Nill, Benjamin: On the combinatorial classification of toric log del Pezzo surfaces (2010)
  18. Neves, Jorge; Papadakis, Stavros Argyrios: A construction of numerical Campedelli surfaces with torsion $\mathbb Z/6$ (2009)
  19. Papadakis, Stavros Argyrios: The equations of type II$_1$ unprojection (2008)
  20. Altınok, Selma; Brown, Gavin; Reid, Miles: Fano 3-folds, $K3$ surfaces and graded rings. (2002)