PALP: a Package for Analyzing Lattice Polytopes

Most of the data at this website were produced with code that became part of the package PALP of C programs.
It is freely available under the GNU licence terms.
All rights are reserved by M. Kreuzer and H. Skarke.


• PALP has been included into the standard distribution of the open-source mathematics software system Sage.
  
  
• Feedback is welcome: send an e-mail to Harald Skarke for comments or questions concerning the existing package, or visit the PALP/PALP++ Wiki if you want to suggest or get involved in future developments.
  
  
• The source code is contained in the file palp-2.1.tar.gz (older versions here).
  After unpacking you should have a directory 'palp' containing the code. You may want to edit the file Global.h (the default settings should work for most applications in up to 6 dimensions). Compilation (by typing 'make' in UNIX/Linux) should generate the executable files poly.x, class.x, cws.x, nef.x and mori.x.
  
  
• Documentation:
  A user's guide to version 2.1 of the whole package is provided by arXiv:1205.4147 and by the PALP online documentation, which is a part of the PALP/PALP++ Wiki.
  
  • The original package (poly.x, class.x, cws.x) is described in math/0204356.
    If you want to acknowledge using PALP we recommend a reference to that paper.
    
  • The application nef.x (created by Erwin Riegler) computes nef partitions and Hodge data for toric complete intersections.
    
  • The application mori.x (by Max Kreuzer and Nils-Ole Walliser, with contributions by Johanna Knapp, Emanuel Scheidegger and Harald Skarke) is concerned with intersection theory and Mori cones. Its original version is described in arXiv:1106.4529.
    
  • For quick help use the -h options of the executables: poly.x -h, class.x -h, cws.x -h, nef.x -h, mori.x -h.
    
  • The main header file Global.h contains technical descriptions of many routines as well as the settings for global parameters.
    
    
• Examples:
  • Classification/construction: binary & data base files
    Examples for complete enumerations of reflexive subpolytopes and details of our strategy for polytopes on sublattices.
    
  • Complete intersection CYs
    Examples for generating (combined) weight systems and for computing topological data of complete intersection Calabi-Yaus.
    
  
  
• History (corrections and extensions):
  palp-1.0.tar.gz: First release [April 30, 2002].
  palp-1.01.tar.gz: Some inconsistencies in the parameters of cws.x fixed.
  palp-1.02.tar.gz: Improvements in "Sublattice_Basis" ("det=1" is imposed on quotient action if possible) [May 18, 2002].
  palp-1.1.tar.gz: 64 bit extension of the database system for large files;
  correction of a bug in the face lattice calculation and some minor bugs;
  several experimental extensions: try option "-x" [November 2, 2006].
  palp-2.0.tar.gz: triangulation, Mori cone, intersection theory [June 22, 2011].
  palp-2.1.tar.gz: Bug fixes, inclusion of previously inofficial ("-x") options, nef.x -G, mori.x -M. [May 15, 2012].
  PALP++ and/or other future developments: Please consult the PALP/PALP++ Wiki!
  
  
• Benchmarks