18 lines
1.0 KiB
Plaintext
18 lines
1.0 KiB
Plaintext
We describe our package PALP of C programs for calculations with lattice
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polytopes and applications to toric geometry, which is freely available on
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the internet
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It contains routines for vertex and facet enumeration, computation of
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incidences and symmetries, as well as completion of the set of lattice
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points in the convex hull of a given set of points. In addition, there are
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procedures specialised to reflexive polytopes such as the enumeration of
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reflexive subpolytopes, and applications to toric geometry and string
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theory, like the computation of Hodge data and fibration structures for
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toric Calabi-Yau varieties
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The package is well tested and optimised in speed as it was used for time
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consuming tasks such as the classification of reflexive polyhedra in 4
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dimensions and the creation and manipulation of very large lists of 5-
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dimensional polyhedra
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While originally intended for low-dimensional applications, the algorithms
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work in any dimension and our key routine for vertex and facet enumeration
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compares well with existing packages
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