Shramov, K. A. Ascending chain condition for the set of canonical thresholds of toric varieties. (English) Zbl 1134.14312 Sb. Math. 197, No. 4, 623-631 (2006); translation from Mat. Sb. 197, No. 4, 151-160 (2006). From the text: It is proved that the ascending chain condition (important in the study of decompositions of birational maps between Mori fibrations into elementary pieces [see K. Matsuki, Introduction to the Mori program, Universitext (2002; Zbl 0988.14007)]) holds for the set of canonical thresholds of pairs consisting of a toric variety (of a fixed dimension) and an invariant linear system. Cited in 1 Document MSC: 14M25 Toric varieties, Newton polyhedra, Okounkov bodies 14E30 Minimal model program (Mori theory, extremal rays) 14J30 \(3\)-folds Citations:Zbl 0988.14007 PDFBibTeX XMLCite \textit{K. A. Shramov}, Sb. Math. 197, No. 4, 623--631 (2006; Zbl 1134.14312); translation from Mat. Sb. 197, No. 4, 151--160 (2006) Full Text: DOI