Filip Jonsson Kling: On binomial complete intersections

Abstract.

We consider a natural class of artinian binomial complete intersections introduced by Harima, Wachi, and Watanabe. For elements in this class, we give a canonical monomial vector space basis for the corresponding quotient. Moreover, we describe both the radical of the resultant and the Macaulay dual generator in terms of a directed graph. This is joint work with Samuel Lundqvist and Lisa Nicklasson.