论文标题

全球 + - 常规品种和混合特征中三倍的三倍的最小模型程序

Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic

论文作者

Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt, Schwede, Karl, Tucker, Kevin, Waldron, Joe, Witaszek, Jakub

论文摘要

我们为算术三倍的算术特征大于五个。在这样做的过程中,我们将全球$ f $ regumartity的理论推广到混合特征并确定某些稳定的伴随线束。最后,通过传递给分级环,我们将藤田猜想的特殊情况推广到混合特征。

We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are greater than five. In doing this, we generalize the theory of global $F$-regularity to mixed characteristic and identify certain stable sections of adjoint line bundles. Finally, by passing to graded rings, we generalize a special case of Fujita's conjecture to mixed characteristic.

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