Let X be a Fano variety of index k. Suppose that the non-klt locus Nklt(X) is not empty. We prove... more Let X be a Fano variety of index k. Suppose that the non-klt locus Nklt(X) is not empty. We prove that dim Nklt(X) ≥ k − 1 and equality holds if and only if Nklt(X) is a linear P k−1 . In this case X has lc singularities and is a generalised cone with Nklt(X) as vertex.
Let X be a Fano variety of index k. Suppose that the non-klt locus Nklt(X) is not empty. We prove... more Let X be a Fano variety of index k. Suppose that the non-klt locus Nklt(X) is not empty. We prove that dim Nklt(X) ≥ k − 1 and equality holds if and only if Nklt(X) is a linear P k−1 . In this case X has lc singularities and is a generalised cone with Nklt(X) as vertex.
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Papers by A. Horing