论文标题
有限能量指标的空间中的Plurisubharmone Geodesics
Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy
论文作者
论文摘要
考虑到信封的连续性,鉴于在任何非架构场地上有两极分化的投射品种(x,l),我们表明在L上有限能量指标的空间是一个地球标准空间,在该空间中,大地测量学的最大PSH段。给定两个连续的PSH指标,我们表明将它们加入它们的最大段是连续的。
Given a polarized projective variety (X,L) over any non-Archimedean field, assuming continuity of envelopes, we show that the space of finite-energy metrics on L is a geodesic metric space, where geodesics are given as maximal psh segments. Given two continuous psh metrics, we show that the maximal segment joining them is furthermore continuous.