Computing the Index of a Gorenstein Polytope

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done-with-fish
Posts: 16
Joined: 12 Feb 2015, 21:44

Computing the Index of a Gorenstein Polytope

Postby done-with-fish » 12 Feb 2015, 23:05

A d-dimensional lattice polytope P has index r if rP contains an interior lattice point m and rP-m is reflexive. I am trying to figure out if polymake has the ability to compute the index of a Gorenstein polytope but I haven't found anything in the documentation. Does polymake have this capability?

blorenz
Developer
Posts: 139
Joined: 10 Jan 2011, 17:21

Re: Computing the Index of a Gorenstein Polytope

Postby blorenz » 12 Feb 2015, 23:45

Yes polymake can compute whether a polytope is gorenstein and the index. See here. polymake can also compute the GORENSTEIN_VECTOR m.
Benjamin

done-with-fish
Posts: 16
Joined: 12 Feb 2015, 21:44

Re: Computing the Index of a Gorenstein Polytope

Postby done-with-fish » 14 Feb 2015, 08:29

Don't know how I missed this. Thanks!


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