GLOSSARY OF NOTATION xiii
semigroup algebra of σ 130
χm
character associated to m M 130, 131
affine toric variety corresponding to σ 131
ω the d-form
dt1
t1
···
dtd
td
or the
(d + 1)-form
dt0
t0
···
dtd
td
131, 132
Int
σ∨
interior of
σ∨
131
C(∆) cone associated to a lattice polytope 131
S∆ semigroup algebra of a lattice polytope 132
L∆ quotient field of S∆ 132
I∆ dualizing ideal corresponding to 132
Resf toric residue (first and second versions) 133
minimal generator of ρ N 133
divisor associated to minimal generator ρ 133
S total coordinate ring of the toric variety 133
div(χm) divisor of the character χm 134
Cl(X) group of torus-invariant Weil divisors
modulo linear equivalence 134
∆d standard d-simplex 134
β0 sum of the degrees of the variables 135
δ the critical degreee
∑d
i=0
deg Fi β0 138
ResF toric residue (homogeneous versions) 138, 140
Σ∆ normal fan of 138
Resf global residue 144
∆(f) Newton polytope of a Laurent series f 144
∆F
σ
polynomial of toric residue ±1 148
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