论文标题

关于全球$ f $ split品种的界限

On the Boundedness of Globally $F$-split varieties

论文作者

Stigant, Liam

论文摘要

本文提议使用$ f $ -split和全球$ f $ f $的条件来追求BAB类型,从而产生了积极的特征。主要的技术工作是针对正尺寸基础上三重Mori纤维空间进行详细研究的形式。结果,我们证明了主要定理,这将大量品种的生物界界限降低到了最佳Fano品种的研究。

This paper proposes the use of $F$-split and globally $F$-regular conditions in the pursuit of BAB type results in positive characteristic. The main technical work comes in the form of a detailed study of threefold Mori fibre spaces over positive dimensional bases. As a consequence we prove the main theorem, which reduces birational boundedness for a large class of varieties to the study of prime Fano varieties.

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