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
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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