发表机构
University College London; University of Manchester（伦敦大学学院; 曼彻斯特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究亏格2曲线的约化类型，通过类比泰特对椭圆曲线的做法，给出了亏格2曲线相关不变量的表格集，涉及极小正则模型约化类型等多种不变量。
AI 中文摘要
泰特给出了局部域上椭圆曲线的一个表格，用柯达依类型很好地总结了它们的算术不变量。我们给出了亏格2曲线的类似表格集。涉及的不变量包括：极小正则模型的约化类型、具有正常交叉的极小正则模型的约化类型、雅可比行列式的涅龙分量群、导体指数、极小韦伊斯特拉斯模型判别式的赋值以及聚类图。
英文摘要
Tate produced a table for elliptic curves over local fields that beautifully summarises their arithmetic invariants in terms of the Kodaira type. We present an analogous set of tables for curves of genus 2. The invariants addressed include: reduction type of the minimal regular model, reduction type of the minimal regular model with normal crossings, Néron component group of the Jacobian, conductor exponent, valuation of the discriminant of a minimal Weierstrass model, and cluster pictures.
Commentsminor changes, tables are also available at https://elviralupoian.github.io/genus2reductiontypes/
