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arxiv: 1401.1854 · v2 · pith:CWTPMNYEnew · submitted 2014-01-08 · 🧮 math.AG

Pull-back of quasi-log structures

classification 🧮 math.AG
keywords quasi-logfanopairspull-backapplicationcanonicalconnectednesscontains
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We prove that the pull-back of a quasi-log scheme by a smooth quasi-projective morphism has a natural quasi-log structure. We treat an application to log Fano pairs. This paper also contains a proof of the simple connectedness of log Fano pairs with only log canonical singularities by Kento Fujita.

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