PALP
We describe our package PALP of C programs for calculations with lattice polytopes and applications to toric geometry, which is freely available on the internet. It contains routines for vertex and facet enumeration, computation of incidences and symmetries, as well as completion of the set of lattice points in the convex hull of a given set of points. In addition, there are procedures specialised to reflexive polytopes such as the enumeration of reflexive subpolytopes, and applications to toric geometry and string theory, like the computation of Hodge data and fibration structures for toric Calabi-Yau varieties. The package is well tested and optimised in speed as it was used for time consuming tasks such as the classification of reflexive polyhedra in 4 dimensions and the creation and manipulation of very large lists of 5-dimensional polyhedra. While originally intended for low-dimensional applications, the algorithms work in any dimension and our key routine for vertex and facet enumeration compares well with existing packages.
(Source: http://cpc.cs.qub.ac.uk/summaries/)
Keywords for this software
References in zbMATH (referenced in 59 articles , 1 standard article )
Showing results 1 to 20 of 59.
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- Banlaki, Andreas; Chowdhury, Abhishek; Kidambi, Abhiram; Schimpf, Maria; Skarke, Harald; Wrase, Timm: Calabi-Yau manifolds and sporadic groups (2018)
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- He, Yang-Hui; Seong, Rak-Kyeong; Yau, Shing-Tung: Calabi-Yau volumes and reflexive polytopes (2018)
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- Davenport, Ian C.; Melnikov, Ilarion V.: Landau-Ginzburg skeletons (2017)
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- Berman, Robert J.: K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics (2016)
- Oehlmann, Paul-Konstantin; Reuter, Jonas; Schimannek, Thorsten: Mordell-Weil torsion in the mirror of multi-sections (2016)
- Altman, Ross; Gray, James; He, Yang-Hui; Jejjala, Vishnu; Nelson, Brent D.: A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list (2015)
- Braun, A. P.; Watari, T.: The vertical, the horizontal and the rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications (2015)