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Multiplicity
Syntax
Multiplicity(R:RING or TAGGED("Quotient")):INT
Summary
the multiplicity (degree) of a ring or quotient object
Description
This function computes the multiplicity (or degree) of the ring R,
i.e., the leading coefficient of the Hilbert polynomial multiplied by
the factorial of the degree of the Hilbert polynomial.  The weights of
the indeterminates of the current ring must all be 1.

Example

Use R ::= Q[t,x,y,z];
Multiplicity(R/Ideal(x,y,z)^5);
35
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See also: