Log Canonical Thresholds and Generalized Eckardt Points

نویسندگان

  • Ivan Cheltsov
  • Jihun Park
چکیده

Let X be a smooth hypersurface of degree n ≥ 3 in P. We prove that the log canonical threshold of H ∈ |−KX| is at least n−1 n . Under the assumption of the Log minimal model program, we also prove that a hyperplane section H of X is a cone in P over a smooth hypersurface of degree n in P if and only if the log canonical threshold of H is n−1 n . Bibliography : 20 titles.

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تاریخ انتشار 1995