高维本质最小值与闭链的等分布
Higher dimensional essential minima and equidistribution of cycles
AI总结：
针对高维子簇缺乏本质最小值概念及其等分布研究不足的问题，本文提出高维本质最小值，并据此证明通有小有效闭链的等分布，推广了既有定理。
摘要：
本质最小值与小点的等分布是算术几何中两个成熟且相互关联的主题。然而，目前缺少处理高维子簇的本质最小值类比概念，而这些子簇的等分布更是一个远未得到充分探索的课题。在本文中，我们引入了高维本质最小值的新概念，并利用它证明了通有且小的有效闭链的等分布。后者通过考虑闭链并允许在算术数据上具有更大的灵活性，推广了以往的高维等分布定理。
英文摘要：
The essential minimum and equidistribution of small points are two well-established interrelated subjects in arithmetic geometry. However, there is lack of an analogue of essential minimum dealing with higher dimensional subvarieties, and the equidistribution of these is a far less explored topic. In this paper, we introduce a new notion of higher dimensional essential minimum and use it to prove equidistribution of generic and small effective cycles. The latter generalizes the previous higher dimensional equidistribution theorems by considering cycles and by allowing more fexibility on the arithmetic datum.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
