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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.

MSC:

14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14E30 Minimal model program (Mori theory, extremal rays)
14J30 \(3\)-folds

Citations:

Zbl 0988.14007
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