Sequences of Lct-Polytopes
journal contributionposted on 2012-03-06, 00:00 authored by A. Libgober, M. Mustata
To r ideals on a germ of smooth variety X one attaches a rational polytope in Rr + (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 (Pm)m1 of LCT-polytopes in Rr + converges to a compact subset Q in the Hausdorff metric, then Q = T mm0 Pm for some m0, and Q is an LCT-polytope.
The first author was patially supported by NSF grant DMS-0705050. The second author was partially supported by NSF grant DMS-0758454 and a Packard Fellowship.
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