Re-embeddings of Affine Algebras Via Gröbner Fans of Linear Ideals

Martin Kreuzer, Le Ngoc Long, Lorenzo Robbiano

Given an affine algebra $R=K[x_1,\dots ,x_n]/I$ over a field $K$, where $I$ is an ideal in the polynomial ring $P=K[x_1,\dots ,x_n]$, we examine the task of effectively calculating r…