# CASA Function: singularities

Compute singularities of a specified plane curve.

### Calling Sequence:

### 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:

[CASA]
[neighbGraph]