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D.6.4.10 plainInvariants

Procedure from library curvepar.lib (see curvepar_lib).

Usage:
plainInvariants(i); i ideal

Assume:
i is the defining ideal of a (reducible) plane curve singularity.

Return:
list L of charts. L[j] is the invariants of the jth branch and the last entry of L is a list containing the intersection matrix,contact matrix,resolution graph of the curve.
L[j][1]: intvec (characteristic exponents of the jth branch) L[j][2]: intvec (generators of the semigroup of the jth branch) L[j][3]: intvec (first components of the puiseux pairs of the jth branch) L[j][4]: intvec (second components of the puiseux pairs of the jth branch) L[j][5]: int (degree of conductor of the jth branch) L[j][6]: intvec (multiplicity sequence of the jth branch. L[last][1]: intmat (intersection matrix of the branches) L[last][2]: intmat (contact matrix of the branches)
L[last][3]: intmat (resolution graph of the curve)

Example:
 
See also: CharacteristicExponents; ContactMatrix; IntersectionMatrix; MultiplicitySequence.


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