Potentially good reduction loci of Shimura varieties
作者: Naoki ImaiYoichi Mieda
刊名: Tunisian Journal of Mathematics, 2020, Vol.2 (2), pp.399-454
来源数据库: Project Euclid
DOI: 10.2140/tunis.2020.2.399
关键词: Shimura varietyGood reductionAdic spaceNearby cycle
原始语种摘要: We give a notion of the potentially good reduction locus of a Shimura variety. It consists of the points which should be related with motives having potentially good reductions in some sense. We show the existence of such locus for a Shimura variety of preabelian type. Further, we construct a partition of the adic space associated to a Shimura variety of preabelian type, which is expected to describe degenerations of motives. Using this partition, we prove that the cohomology of the potentially good reduction locus is isomorphic to the cohomology of a Shimura variety up to nonsupercuspidal parts.
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  • variety 变种
  • locus 轨迹
  • reduction 减少
  • construct 建设
  • potentially 可能地
  • partition 划分
  • expected 预期
  • cohomology 上同调
  • isomorphic 同形的
  • prove 实验