On the (De)homogenization of Sagbi Bases

Abstract

In this paper we study the relation between nonhomogeneous and homogeneous Sagbi bases. As a consequence, we present a general prin- ciple of computing Sagbi bases of a subalgebra and its homogenized subalgebra, which is based on passing over to homogenized generators.

Keywords

• sagbi basis
• homogenous polynomia