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YCor
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Are terminal singularities $ \mathbb{Q}$  -factorial?

The proof of Lemma 5-1-5 in this 1987 paper by Kawamata, Matsuda and Matsuki https://projecteuclid.org/download/pdf_1/euclid.aspm/1525310275(link on Projecteuclid) seems to say that a variety with terminal singularities is $\mathbb{Q}$  - factorialfactorial ( I only need the case $ \Delta =0$ in which case, weak log terminal might be the same as just terimalterminal.). Does anyone know how to prove this, or a place where this is proved?

Are terminal singularities $ \mathbb{Q}$  -factorial?

The proof of Lemma 5-1-5 in https://projecteuclid.org/download/pdf_1/euclid.aspm/1525310275 seems to say that a variety with terminal singularities is $\mathbb{Q}$  - factorial ( I only need the case $ \Delta =0$ in which case, weak log terminal might be the same as just terimal.). Does anyone know how to prove this, or a place where this is proved?

Are terminal singularities $ \mathbb{Q}$-factorial?

The proof of Lemma 5-1-5 in this 1987 paper by Kawamata, Matsuda and Matsuki (link on Projecteuclid) seems to say that a variety with terminal singularities is $\mathbb{Q}$-factorial ( I only need the case $ \Delta =0$ in which case, weak log terminal might be the same as just terminal.). Does anyone know how to prove this, or a place where this is proved?

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anonymous
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Are terminal singularities $ \mathbb{Q}$ -factorial?

The proof of Lemma 5-1-5 in https://projecteuclid.org/download/pdf_1/euclid.aspm/1525310275 seems to say that a variety with terminal singularities is $\mathbb{Q}$ - factorial ( I only need the case $ \Delta =0$ in which case, weak log terminal might be the same as just terimal.). Does anyone know how to prove this, or a place where this is proved?