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 57 articles , 1 standard article )
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Sorted by year (- Huang, Yu-Chien; Taylor, Washington: Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers (2019)
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- da C. Guio, Thaisa C.; Jockers, Hans; Klemm, Albrecht; Yeh, Hung-Yu: Effective action from M-theory on twisted connected sum (G_2)-manifolds (2018)
- He, Yang-Hui; Seong, Rak-Kyeong; Yau, Shing-Tung: Calabi-Yau volumes and reflexive polytopes (2018)
- Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo: Tensionless strings and the weak gravity conjecture (2018)
- Davenport, Ian C.; Melnikov, Ilarion V.: Landau-Ginzburg skeletons (2017)
- He, Yang-Hui; Jejjala, Vishnu; Pontiggia, Luca: Patterns in Calabi-Yau distributions (2017)
- Long, Cody; McAllister, Liam; Stout, John: Systematics of axion inflation in Calabi-Yau hypersurfaces (2017)
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- Anderson, Lara B.; Apruzzi, Fabio; Gao, Xin; Gray, James; Lee, Seung-Joo: A new construction of Calabi-Yau manifolds: generalized CICYs (2016)
- Anderson, Lara B.; Gao, Xin; Gray, James; Lee, Seung-Joo: Multiple fibrations in Calabi-Yau geometry and string dualities (2016)
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- 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)
- Braun, Volker; Grimm, Thomas W.; Keitel, Jan: Complete intersection fibers in F-theory (2015)
- Karzhemanov, Ilya: Fano threefolds with canonical Gorenstein singularities and big degree (2015)