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 33 articles )

Showing results 1 to 20 of 33.
Sorted by year (citations)

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  1. Prince, Thomas: From cracked polytopes to Fano threefolds (2021)
  2. Brown, Gavin; Fatighenti, Enrico: Hodge numbers and deformations of Fano 3-folds (2020)
  3. Coates, Tom; Galkin, Sergey; Kasprzyk, Alexander; Strangeway, Andrew: Quantum periods for certain four-dimensional Fano manifolds (2020)
  4. Coughlan, Stephen; Ducat, Tom: Constructing Fano 3-folds from cluster varieties of rank 2 (2020)
  5. Arezzo, Claudio; Vedova, Alberto Della; Lena, Riccardo; Mazzieri, Lorenzo: On the Kummer construction for Kcsc metrics (2019)
  6. Cheltsov, Ivan; Shramov, Constantin: Finite collineation groups and birational rigidity (2019)
  7. Dais, Dimitrios I.: On the twelve-point theorem for (\ell)-reflexive polygons (2019)
  8. Fatighenti, Enrico; Rizzi, Luca; Zucconi, Francesco: Weighted Fano varieties and infinitesimal Torelli problem (2019)
  9. Brown, Gavin; Kasprzyk, Alexander M.; Qureshi, Muhammad Imran: Fano 3-folds in (\mathbbP^2\times\mathbbP^2) format, Tom and Jerry (2018)
  10. Codogni, Giulio; Fanelli, Andrea; Svaldi, Roberto; Tasin, Luca: A note on the fibres of Mori fibre spaces (2018)
  11. Prokhorov, Yuriĭ G.: The rationality problem for conic bundles (2018)
  12. Brown, Gavin; Georgiadis, Konstantinos: Polarized Calabi-Yau 3-folds in codimension 4 (2017)
  13. Jiang, Chen: (K)-semistable Fano manifolds with the smallest alpha invariant (2017)
  14. Kasprzyk, Alexander; Nill, Benjamin; Prince, Thomas: Minimality and mutation-equivalence of polygons (2017)
  15. Paffenholz, Andreas: \textttpolyDB: a database for polytopes and related objects (2017)
  16. Qureshi, Muhammad Imran: Computing isolated orbifolds in weighted flag varieties (2017)
  17. Ahmadinezhad, Hamid; Zucconi, Francesco: Mori dream spaces and birational rigidity of Fano 3-folds (2016)
  18. Christophersen, Jan Arthur; Ilten, Nathan: Hilbert schemes and toric degenerations for low degree Fano threefolds (2016)
  19. Prokhorov, Yuri G.: (\mathbbQ)-Fano threefolds of index 7 (2016)
  20. Lorenz, Benjamin; Nill, Benjamin: On smooth Gorenstein polytopes (2015)

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