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:

References in zbMATH (referenced in 70 articles , 1 standard article )

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  1. Knapp, Johanna; Romo, Mauricio; Scheidegger, Emanuel: D-brane central charge and Landau-Ginzburg orbifolds (2021)
  2. AbdusSalam, S.; Abel, S.; Cicoli, M.; Quevedo, F.; Shukla, P.: A systematic approach to Kähler moduli stabilisation (2020)
  3. Anderson, Lara B.; Gray, James; Lukas, Andre; Wang, Juntao: Chern-Simons invariants and heterotic superpotentials (2020)
  4. Banlaki, Andreas; Chattopadhyaya, Aradhita; Kidambi, Abhiram; Schimannek, Thorsten; Schimpf, Maria: Heterotic strings on ((K3 \timesT^2)/ \mathbbZ_3) and their dual Calabi-Yau threefolds (2020)
  5. Banlaki, Andreas; Chowdhury, Abhishek; Kidambi, Abhiram; Schimpf, Maria: On Mathieu moonshine and Gromov-Witten invariants (2020)
  6. Bao, Jiakang; Colverd, Grace Beaney; He, Yang-Hui: Quiver gauge theories: beyond reflexivity (2020)
  7. Bourjaily, Jacob L.; Mcleod, Andrew J.; Vergu, Cristian; Volk, Matthias; Von Hippel, Matt; Wilhelm, Matthias: Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space (2020)
  8. Oehlmann, Paul-Konstantin; Schimannek, Thorsten: GV-spectroscopy for F-theory on genus-one fibrations (2020)
  9. Ruehle, Fabian: Data science applications to string theory (2020)
  10. Vergu, Cristian; Volk, Matthias: Traintrack Calabi-Yaus from twistor geometry (2020)
  11. Altman, Ross; Carifio, Jonathan; Halverson, James; Nelson, Brent D.: Estimating Calabi-Yau hypersurface and triangulation counts with equation learners (2019)
  12. Cota, Cesar Fierro; Klemm, Albrecht; Schimannek, Thorsten: Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities (2019)
  13. Huang, Yu-Chien; Taylor, Washington: Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers (2019)
  14. Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo: A stringy test of the scalar weak gravity conjecture (2019)
  15. Schöller, Friedrich; Skarke, Harald: All weight systems for Calabi-Yau fourfolds from reflexive polyhedra (2019)
  16. Banlaki, Andreas; Chowdhury, Abhishek; Kidambi, Abhiram; Schimpf, Maria; Skarke, Harald; Wrase, Timm: Calabi-Yau manifolds and sporadic groups (2018)
  17. Blumenhagen, Ralph; Klaewer, Daniel; Schlechter, Lorenz; Wolf, Florian: The Refined Swampland Distance Conjecture in Calabi-Yau moduli spaces (2018)
  18. 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)
  19. He, Yang-Hui; Seong, Rak-Kyeong; Yau, Shing-Tung: Calabi-Yau volumes and reflexive polytopes (2018)
  20. Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo: Tensionless strings and the weak gravity conjecture (2018)

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