Logarithmic version of Serrano's conjecture

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.

Sources & referencesView supporting material

Primary source

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

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