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- Normal_polytope abstract "In mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope P is called normal if it has the following property: given any positive integer n, every lattice point of the dilation nP, obtained from P by scaling its vertices by the factor n and taking the convex hull of the resulting points, can be written as the sum of exactly n lattice points in P. This property plays an important role in the theory of toric varieties, where it corresponds to projective normality of the toric variety determined by P. Normal polytopes have popularity in algebraic combinatorics. These polytopes also represent the homogeneous case of the Hilbert bases of finite positive rational cones and the connection to algebraic geometry is that they define projectively normal embeddings of toric varieties.".
- Normal_polytope wikiPageExternalLink kripo.pdf.
- Normal_polytope wikiPageID "11391827".
- Normal_polytope wikiPageLength "7281".
- Normal_polytope wikiPageOutDegree "38".
- Normal_polytope wikiPageRevisionID "681167487".
- Normal_polytope wikiPageWikiLink Abelian_group.
- Normal_polytope wikiPageWikiLink Algebraic_geometry.
- Normal_polytope wikiPageWikiLink Ambient_space.
- Normal_polytope wikiPageWikiLink Bernd_Sturmfels.
- Normal_polytope wikiPageWikiLink Birkhoff_polytope.
- Normal_polytope wikiPageWikiLink Cancellation_property.
- Normal_polytope wikiPageWikiLink Cancellative.
- Normal_polytope wikiPageWikiLink Category:Polytopes.
- Normal_polytope wikiPageWikiLink Combinatorial_commutative_algebra.
- Normal_polytope wikiPageWikiLink Commutative.
- Normal_polytope wikiPageWikiLink Commutative_property.
- Normal_polytope wikiPageWikiLink Convex_cone.
- Normal_polytope wikiPageWikiLink Convex_hull.
- Normal_polytope wikiPageWikiLink Convex_lattice_polytope.
- Normal_polytope wikiPageWikiLink Ehrhart_polynomial.
- Normal_polytope wikiPageWikiLink Euclidean_space.
- Normal_polytope wikiPageWikiLink Gordans_lemma.
- Normal_polytope wikiPageWikiLink Grothendieck_group.
- Normal_polytope wikiPageWikiLink Halls_marriage_theorem.
- Normal_polytope wikiPageWikiLink Hilbert_basis.
- Normal_polytope wikiPageWikiLink Homogeneous_coordinate_ring.
- Normal_polytope wikiPageWikiLink Hyperplane.
- Normal_polytope wikiPageWikiLink Invariant_(mathematics).
- Normal_polytope wikiPageWikiLink Isomorphism.
- Normal_polytope wikiPageWikiLink Mathematics.
- Normal_polytope wikiPageWikiLink Monoid.
- Normal_polytope wikiPageWikiLink Number_theory.
- Normal_polytope wikiPageWikiLink Polygon.
- Normal_polytope wikiPageWikiLink Polygons.
- Normal_polytope wikiPageWikiLink Polytope.
- Normal_polytope wikiPageWikiLink Projective_normality.
- Normal_polytope wikiPageWikiLink Rational_cone.
- Normal_polytope wikiPageWikiLink Rational_pointed_cone.
- Normal_polytope wikiPageWikiLink Ring_theory.
- Normal_polytope wikiPageWikiLink Simplex.
- Normal_polytope wikiPageWikiLink Stanleys_reciprocity_theorem.
- Normal_polytope wikiPageWikiLink Toric_ring.
- Normal_polytope wikiPageWikiLink Toric_variety.
- Normal_polytope wikiPageWikiLink Unimodular_matrix.
- Normal_polytope wikiPageWikiLink Unimodular_simplex.
- Normal_polytope wikiPageWikiLink Wikt:affine.
- Normal_polytope wikiPageWikiLinkText "Normal polytope".
- Normal_polytope hasPhotoCollection Normal_polytope.
- Normal_polytope wikiPageUsesTemplate Template:Dn.
- Normal_polytope wikiPageUsesTemplate Template:Math.
- Normal_polytope wikiPageUsesTemplate Template:Reflist.
- Normal_polytope subject Category:Polytopes.
- Normal_polytope type Polytope.
- Normal_polytope type Space.
- Normal_polytope comment "In mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope P is called normal if it has the following property: given any positive integer n, every lattice point of the dilation nP, obtained from P by scaling its vertices by the factor n and taking the convex hull of the resulting points, can be written as the sum of exactly n lattice points in P.".
- Normal_polytope label "Normal polytope".
- Normal_polytope sameAs m.02r9y2x.
- Normal_polytope sameAs Q7051828.
- Normal_polytope sameAs Q7051828.
- Normal_polytope wasDerivedFrom Normal_polytope?oldid=681167487.
- Normal_polytope isPrimaryTopicOf Normal_polytope.