Asymptotic Multiplicities

2013/11/06 by Cutkosky, Steven Dale
#13H15 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1311.1432

Abstract

We give several new applications of our theorem on the existence of multiplicity of graded families of ideals as a limit, including a very general Minkowski type inequality for graded families of ideals, a very general formula for existence of local volumes as a limit and a very general theorem on the existence of epsilon multiplicities as a limit for modules.

Related

• Multiplicities Associated to Graded Families of Ideals
• On the Upper bound of the Multiplicity Conjecture
• Multiplicities of weakly graded families of ideals
• On multiplicities of graded sequences of ideals
• Multiplicities of graded families of linear series and ideals