节点曲线上有限平面环量的模量

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-06-25 DOI:10.1112/jlms.70220

Sara Mehidi, Thibault Poiret

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引用次数: 0

摘要

证明了有限平面交换群方案G/S$ G/S$ G/S$上节点曲线族X/S$ X/S$上的对数平面轴是由G的Cartier对偶映射分类的G$的log雅可比矩阵X$ X$次方。在一定的正则性假设下，推导出X/S$光滑纤维上的fppf量可以推广为全局对数平面量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Moduli of finite flat torsors over nodal curves

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Moduli of finite flat torsors over nodal curves

We show that log flat torsors over a family $X / S$ of nodal curves under a finite flat commutative group scheme $G / S$ are classified by maps from the Cartier dual of $G$ to the log Jacobian of $X$ . We deduce that fppf torsors on the smooth fiberss of $X / S$ can be extended to global log flat torsors under some regularity hypotheses.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.