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

Reboulet, Rémi

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.

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