%0 Journal Article
%T Jumping numbers and ordered tree structures on the dual graph
%A Eero Hyry
%A Tarmo J£¿rvilehto
%J Mathematics
%D 2010
%I arXiv
%X Let R be a two-dimensional regular local ring having an algebraically closed residue field and let a be a complete ideal of finite colength in R. In this article we investigate the jumping numbers of a by means of the dual graph of the minimal log resolution of the pair (X,a). Our main result is a combinatorial criterium for a positive rational number to be a jumping number. In particular, we associate to each jumping number certain ordered tree structures on the dual graph.
%U http://arxiv.org/abs/1001.1220v2