Resumen de Computing with toric varieties

Helena A. Verrill, David Joyner

• A computer algebra package (written by the second author) is described which deals with both affine and projective toric varieties in any number of dimensions (written in both MAGMA and GAP). Among other things, the package implements the desingularization procedure, constructs some error-correcting codes associated with toric varieties, and computes the Riemann¿Roch space of a divisor on a toric variety.