200 INDEX Lagrangian, 175 support of a polynomial, 3, 26 Sylvester sequence, 16 Talalaev, Dmitri, 154 Tarasov, Vitaly, 2, 6, 118, 121, 147, 159, 161–164, 166, 171, 174, 175 Texas A&M University, 171, 187 Theobald, Thorsten, 112, 113 Theorem B´ ezout, 25 Bernstein, 3, 27, 34 Bertini, 29, 47 Birch, 83 Budan-Fourier, 14 Cauchy-Binet, 72 Khovanskii, 4, 49–51, 58 Khovanskii-Rolle, 51, 67 Kleiman-Bertini, 118, 174, 179 Kushnirenko, 3, 26, 29, 44–46 Mean Value, 15 Newton-Puiseaux, 34 Rellich, 162 Rolle, 58, 67 Sard, 51 Sturm, 16, 18, 20 transversality, 162 Tropical correspondence, 9 Varchenko, 114 Tognoli, Alberto, 105 topological degree, see also degree, mapping toric degeneration, 40 toric ideal, 41 toric variety, 29, 78 nonnegative part, 83 normal, 78 positive part, 88 real, 79 transversality, 162 triangulation, 44 balanced, see also triangulation, foldable canonical, 92 foldable, 85 signature, 85 unimodular, 45, 47 upper facets, 42 Vainstein, Alek, 141, 170, 171, 184 Vakil, Ravi, 118 Varchenko, Alexander, 2, 6, 114, 116, 118, 121, 147, 150, 151, 154, 156, 159, 161–164, 166, 171, 174, 175 variation, 14 Viro, Oleg, 58 Vust, Theirry, 105 Walcher, Johannes, 77 Wang, Xiaoshen, 4, 54 weight lattice, 152 Welschinger invariant, 9, 11, 111 Welschinger, Jean-Yves, 9, 77, 109 White, Dennis, 96 Wronski map, 5, 122 Wronski polynomial, 92 Wronskian, 5, 58, 122 Young tableaux, 143 Zeuthen, Hieronymus Georg, 8
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