发表机构
Graduate School of Mathematical Sciences, University of Tokyo（东京大学大学院数学系研究科）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文引入非丰轨迹与限制基轨迹的相对版本，证明特征零戴德金环上适度奇点射影平坦正规整概型的对应Boucksom--Broustet--Pacienza猜想成立，是相关特征结果的混合特征类似物。
AI 中文摘要
我们引入非丰轨迹与限制基轨迹的相对版本，并研究这两类轨迹重合的Boucksom--Broustet--Pacienza猜想的相对版本。我们证明，对于特征零的戴德金环上具有适度奇点（如BCM正则性）的射影平坦正规整概型，该猜想成立。此结果是特征零下Cacciola--Di Biagio及正特征下Sato结果的混合特征类似物。为证该结果，我们证明BCM正则性在由消失阶小的除子扰动下保持不变。
英文摘要
We introduce relative versions of non-nef loci and restricted base loci, and investigate a relative version of Boucksom--Broustet--Pacienza's conjecture that these two loci coincide. We prove the conjecture holds for normal integral schemes projective and flat over a Dedekind domain of characteristic zero with mild singularities, such as BCM-regularity. This result is a mixed characteristic analogue of results of Cacciola--Di Biagio in characteristic zero and Sato in positive characteristic. To prove this result, we show that BCM-regularity is preserved under perturbations by divisors with small vanishing order.
Comments25 pages
