CASA Function: singularities

Compute singularities of a specified plane curve.

Calling Sequence:

• T := singularities(A)

Parameters:

A : planecurve

• Algebraic set in implicit representation specifying an irreducible plane curve.

Result:

T : table

• A table of singularities of the given plane curve.

Description:

• The function yields a table of singularities of the plane curve A.
• Singularities are represented by a table T where T[i] is a list of i-fold (projective) points on A.
• This procedure does not compute neighboring singularities. Additional information on the trace of computation is provided by the userinfo routine.

Examples:

> a:=mkImplAlgSet([y^2*z^3-x^5],[x,y,z],["basespace"="projective"]);

> singularities(a);

See Also: