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Gap, Polymake and Singular meeting, 29 30.03.2012, Berlin

Oleksandr Motsak edited this page Nov 30, 2012 · 4 revisions
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Gap, Polymake and Singular meeting, 29-30.03.2012, Berlin

Welcome to the Gap, Polymake and Singular coding sprint in Berlin

Sponsored by:

DFG

SPP-1489: Algorithmic and experimental methods in algebra, geometry and number theory

Participants:

  • Klaus Altmann (Freie Universität Berlin)
  • Mohamed Barakat (Technische Universität Kaiserslautern)
  • Janko Boehm (Technische Universität Kaiserslautern)
  • Wolfram Decker (Technische Universität Kaiserslautern)
  • Sebastian Gutsche (University of Aachen)
  • Lars Kastner (Freie Universität Berlin)
  • Benjamin Lorenz (Goethe Universität Frankfurt)
  • Hans Schönemann (Technische Universität Kaiserslautern)
  • Yue Ren (Technische Universität Kaiserslautern)
  • Anna-Lena Winz (Freie Universität Berlin)

Development

current status

  • polymake callable library
  • libsingular
  • Singular <-> Polymake interface via polymake callable library and libsingular
  • in Singular: classes cones, fans and polytopes as shared library provided by gfanlib (see gfanlib.so)
  • in Singular: classes divisors, pdivisors as standard library using newstruct (see divisor.lib)
  • in Polymake: Ideals introduced as objects, desired properties.

goals of the meeting

  • create a new wrapper for gfanlib and polymake callable library for Singular
  • make polymake graphs available for Singular (for Hasse diagrams of the face poset of a cone/fan/polytope)
  • documentation on shared libraries in Singular
  • implement algorithm 2.1 of [Ilten, Kastner]
  • take a Polymake matrix and create the Singular ring with the monomial ordering associated to this matrix.

References

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