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Normal fan of a polytope

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Algebraic geometry Toric geometry Fan in toric geometry
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The normal cone of a face F of a polytope consists of linear functionals whose minimum is attained on all of F. These cones form the inward normal fan, complete in the dual of the polytope's affine span. For a full-dimensional lattice polytope, it is a complete rational fan in the full dual space.
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  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 17 / 2 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 17 / 4 / Solution
  • Projective toric variety of a lattice polytope

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