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arxiv: 1505.02460 · v1 · pith:TZKCFDILnew · submitted 2015-05-11 · 🧮 math.AG

Explicit log Fano structures on blow-ups of projective spaces

classification 🧮 math.AG
keywords deltablow-upsfanoexplicitmathbbampleboundarydetermine
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In this paper we determine which blow-ups $X$ of $\mathbb{P}^n$ at general points are log Fano, that is, when there exists an effective $\mathbb{Q}$-divisor $\Delta$ such that $-(K_X+\Delta)$ is ample and the pair $(X,\Delta)$ is klt. For these blow-ups, we produce explicit boundary divisors $\Delta$ making $X$ log Fano.

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