Invariants of Finite Abelian Groups and aCM Projections of Veronese Varieties: Applications
摘要
In this chapter, we relate the invariant theory of finite groups to the longstanding problem, posed by Gröbner (Archiv Math. 16:257–264, 1965), of determining when a monomial projection of the Veronese variety is an aCM variety. We include a comprehensive review of Gröbner’s problem from a historic standpoint. We explore the unexpected connection with the weak Lefschetz property of artinian ideals.