Index „4-graded algebra , 8 5 Betti number , 12 0 Birkhoff pol y tope, 14 5 Buchberger algorithm , 1 , 102 canonical basis , 9 9 circuit, 3 , 33, 81 Cohen-Macaulay, 13 5 coherent, 8 5 complex, 1 1 conformal, 3 4 contingency table , 4 0 diagonal ter m order , 4 3 Ehrhart polynomial , 36 , 79, 133 , 135 face, 1 0 fiber, 3 9 Grassmann variety , 29 , 103 , 110, 13 6 Graver basis , 35 , 48, 56, 81, 150 Graver degree , 59 , 87 Grobner basi s detection , 2 5 Grobner degree , 59 , 89 Grobner fan , 13 , 71 Grobner fiber, 6 0 Grobner region , 5 Hilbert basis , 12 8 Hilbert polynomial , 36 , 79 , 13 3 hypersimplex, 75 , 84 ideal quotient , 11 3 initial algebra , 9 9 initial complex , 63 , 102 initial ideal , 1 , 4, 85, 106 integer programming , 39 , 43, 88, 12 2 knapsack problem , 5 2 Lawrence lifting , 55 , 149 lexicographic (ter m order / triangulation), 1 , 67, 14 3 lineality space , 1 9 linear programming , 26 , 65 MACAULAY, 86 , 89, 15 1 MAPLE, 8 9 marked polynomial , 2 6 matroid pol y tope , 1 6 minimal Grobne r basis , 1 Minkowski addition/sum , 10 , 61 mono-AGA, 86 , 94 Newton polytope , 11 , 19 normal (tori c variety) , 127 , 130 , 13 4 normal cone , 1 1 normal fan , 1 1 normalized volume , 3 6 permutation matrix , 14 5 primary decomposition , 12 2 primitive, 33 , 47, 87 projectively normal , 132 , 13 6 polyhedral subdivision , 9 0 polytope, 9 random walk , 4 1 reduced Grobne r basis , 1 , 32, 76 reduced lattic e basis , 11 5 regular (triangulation) , 6 4 reverse lexicographi c (ter m order / triangulation), 1 , 113 , 143 , 147 sampling, 39 , 84 secondary polytope , 71 , 79 Segre (variety) , 37 , 14 9 standard (monomial) , 1 , 86, 88 161
Previous Page Next Page