Experiments in toric geometry
and lattice polytopes
Winfried Bruns (email@example.com)
software package ToricExp contains algorithms for the creation and
investigation of lattice polytopes and related objects. The executable programs
aim at finding (counter)examples to open questions or conjectures on smooth
projective toric varieties.
the h-vector computation, the library contains the algorithms of Normaliz
in an independent implementation plus many more functions. To use the
functionality of the package completely, you must also install Normaliz.
on which the executables are based is presently not sufficiently documented for
use by others (sorry). I hope it can be converted into a well-structured piece
of software soon. See documentation for the use of
distributing the software under the GPL.
the package and unzip it in a directory of your
choice. The package contains a makefile. Alternatively you can easily compile
the programs yourself by gcc. (I have not tried other C compilers.)
Version 1.2, October 9, 2011
mathematical background see
and J. Gubeladze. Polytopes,
rings and K-theory, Springer 2009
W. Bruns, The quest for counterexamples in toric geometry.
Preprint (also contained in the package)