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We show that log canonical thresholds satisfy the ACC. Contents 1. Introduction 524 2. Description of the proof 527 2.1. Sketch of the proof 528 3. Preliminaries 533 3.1. Notation and Conventions 533 3.2. The volume 535 3.3. Divisorially log terminal modifications 536 3.4. DCC sets 537 3.5. Bounded pairs 537 4. Adjunction 540 5. Global to local 544 6. Upper bounds on the volume 546 7. Birational boundedness 547 8. Numerically trivial log pairs 553 9. Proofs of theorems 554 10. Proofs of corollaries 557 11. Accumulation points 559
Hacon et al. (Wed,) studied this question.
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