Vol. 1, No. 1, 2009

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Polyhedra: A package for computations with convex polyhedral objects

René Birkner

Vol. 1 (2009), 11–15

Convex polyhedral objects play an important role in numerous areas of algebraic geometry. The package Polyhedra enables one to work with such convex polyhedral objects in Macaulay 2. In particular, Polyhedra implements objects representing polyhedra, cones, and fans. Many standard operations, such as intersections, duality, convex hulls, and calculation of Hilbert bases are included. The package also provides functions to create convex polyhedral objects from some algebraic objects.

Mathematical Subject Classification 2010
Primary: 52B55
Secondary: 52-04, 52B20, 52C07, 14M25
Supplementary material

Polyhedra source code

Received: 30 March 2009
Revised: 30 July 2009
Accepted: 7 September 2009
René Birkner
Mathematisches Institut
Freie Universität Berlin
Arnimallee 3
D-14195 Berlin