On Primitive Subdivisions of an Elementary Tetrahedron

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On Primitive Subdivisions of an Elementary Tetrahedron

A polytope P of 3-space, which meets a given lattice L only in its vertices, is called L-elementary. An L-elementary tetrahedron has volume ≥ (1/6). det(L), in case equality holds it is called L-primitive. A result of Knudsen, Mumford and Waterman, tells us that any convex polytope P admits a linear simplicial subdivision into tetrahedra which are primitive with respect to the bigger lattice (1...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2003

ISSN: 0030-8730

DOI: 10.2140/pjm.2003.211.123