Logarithmic version of Serrano's conjecture

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Let (X,Δ)(X,\Delta) be a log canonical pair of dimension nn, and let LL be a strictly nef Cartier divisor on XX.

Log version of Serrano's conjecture. The Q\mathbb Q-Cartier divisor KX+Δ+tLK_X+\Delta+tL is ample for t>2nt>2n.

This is proposed as a logarithmic generalization of Serrano's conjecture and is used in the inductive study of strictly nef divisors. Its status is not resolved in the supplied text.

References

Primary source

Haidong Liu and Shin-ichi Matsumura, “Strictly nef divisors on K-trivial fourfolds”, arXiv:2105.07259 (2021).

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