%0 Journal Article
%T Sequences of LCT-polytopes
%A Anatoly Libgober
%A Mircea Mustata
%J Mathematics
%D 2010
%I arXiv
%X To r ideals on a germ of smooth variety X one attaches a rational polytope in the r-dimensional Euclidean space (the LCT-polytope) that generalizes the notion of log canonical threshold in the case of one ideal. We study these polytopes, and prove a strong form of the Ascending Chain Condition in this setting: we show that if a sequence P_m of such LCT-polytopes converges to a compact subset Q in the Hausdorff metric, then Q is equal to the intersection of all but finitely many of the P_m. Furthermore, Q is an LCT-polytope.
%U http://arxiv.org/abs/1002.4163v3