相对完美Greenberg变换与闭链类映射
The relatively perfect Greenberg transform and cycle class maps
AI总结：
本文将Greenberg变换推广至非完美剩余域情形，并在半阿贝尔簇Néron模型的广义Greenberg变换上构造取值于相对完美邻近闭链函子的闭链类映射。
摘要：
给定一个在混合特征且具有完美剩余域的完备离散赋值环上的概形，Greenberg变换会在剩余域上生成一个比特殊纤维更厚的新概形。本文将此变换推广至非完美剩余域的情形。随后，我们将在应用于半阿贝尔簇的Néron模型的此广义Greenberg变换上，构造一种特定的闭链类映射，其取值于由Kato和第二作者定义的相对完美邻近闭链函子。
英文摘要：
Given a scheme over a complete discrete valuation ring of mixed characteristic with perfect residue field, the Greenberg transform produces a new scheme over the residue field thicker than the special fiber. In this paper, we will generalize this transform to the case of imperfect residue field. We will then construct a certain kind of cycle class map defined on this generalized Greenberg transform applied to the Néron model of a semi-abelian variety, which takes values in the relatively perfect nearby cycle functor defined by Kato and the second author.
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。
