Geodesic
Sails and Hilbert Bases
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 98-105 
O. N. German. Sails and Hilbert Bases. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 98-105. http://geodesic.mathdoc.fr/item/TM_2002_239_a5/
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     author = {O. N. German},
     title = {Sails and {Hilbert} {Bases}},
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     url = {http://geodesic.mathdoc.fr/item/TM_2002_239_a5/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A sail is the boundary of a Klein polyhedron. A relation between certain properties of sails is determined. In particular, a criterion is presented for the Hilbert basis of the semigroup of integer points of a cone in $\mathbb R^3$ and $\mathbb R^4$ to be contained in the sail.

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