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Divisor :: coefficient(Ideal,BasicDivisor)

coefficient(Ideal,BasicDivisor) -- get the coefficient of an ideal for a fixed divisor

Synopsis

Description

This function returns the coefficient of $D$ along the prime divisor associated to $P$.

i1 : R = QQ[x,y,u,v]/ideal(x*y-u*v);
i2 : D = divisor(x)

o2 = Div(v, x) + Div(u, x)

o2 : WeilDivisor on R
i3 : coefficient(ideal(x,u), D)

o3 = 1
i4 : E = divisor(x*u)

o4 = Div(v, x) + Div(u, y) + 2*Div(u, x)

o4 : WeilDivisor on R
i5 : coefficient(ideal(x,u), E)

o5 = 2

See also