通过绝对复杂性确定法诺型变种和投影空间的特征

Pub Date : 2024-01-04 DOI:10.1007/s00229-023-01526-y
Dae-Won Lee
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引用次数: 0

摘要

在本文中,我们通过绝对复杂性得到了法诺型变种和投影空间的几个特征。同时,我们还证明了如果给定的一对 \((X,\Delta )\) 的绝对复杂度是负的,那么这对\((X,\Delta )\)不允许任何\(-(K_X+\Delta )\)-最小模型。
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Characterizations of Fano type varieties and projective spaces via absolute complexity

In this paper, we obtain several characterizations of varieties of Fano type and projective spaces via absolute complexity. Also, we show that if the absolute complexity of a given pair \((X,\Delta )\) is negative, then the pair \((X,\Delta )\) does not admit any \(-(K_X+\Delta )\)-minimal models.

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