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<p>In this paper, we show that if a K-trivial threefold has singularities worse than canonical singularities or its singular locus is one-dimensional, then a strictly nef divisor on it is ample. We also investigate the strictly nefness on K-trivial threefolds with isolated canonical singularities.</p>

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Strictly nef divisors on singular K-trivial threefolds

  • 期刊论文

  • 发表日期：

    2026年3月9日

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  • Haidong Liu

摘要

In this paper, we show that if a K-trivial threefold has singularities worse than canonical singularities or its singular locus is one-dimensional, then a strictly nef divisor on it is ample. We also investigate the strictly nefness on K-trivial threefolds with isolated canonical singularities.