## CASA

### Summary

CASA is a special-purpose system for computational algebra and constructive algebraic geometry. The system has been developed since 1990. CASA is the ongoing product of the Computer Algebra Group at the Research Institute for Symbolic Computation (RISC-Linz), the University of Linz, Austria, under the direction of Prof. Winkler. The system is built on the kernel of the widely used computer algebra system Maple.

### Authors

F.Winkler, R.Hemmecke, M.Mnuk, Q.N.Tran, B.Wall

### Vendor

Research Institute for Symbolic Computation, Johannes Kepler University Linz, Austria

### Status

officially approved by the authors### Aims and scope

### Mathematical Classification

### Keywords

- adjoint curves
- algebraic curves
- algebraic geometric codes
- algebraic sets
- algebraic topology
- computer algebra
- dimension computation
- genus
- geometry
- goppa codes
- Groebner bases
- Groebner walk
- hybrid methods
- multivariate resultants
- neighborhood graphs
- offset curves
- parametric algebraic curves
- Puiseux expansion
- representation of algebraic sets
- singularities
- syzygy bases
- tangent cones
- tangent spaces
- transformation into hypersurfaces