发表机构
Shahid Chamran University of Ahvaz; University of Campinas (UNICAMP)（阿瓦士沙希德·恰姆兰大学; 坎皮纳斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究亏格g≥2光滑射影曲线上阶N>2g-2的循环自同构，处理边界值N=2g和2g-1，给出驯顺分歧签名列表及奇特征和特征二下的野生边界分类。
AI 中文摘要
设X是代数闭域K上亏格g≥2的光滑射影曲线，且假设Aut(X)包含一个阶为N>2g-2的循环子群G。N≥2g+1的情形已知。我们处理两个边界值N=2g和N=2g-1。在驯顺情形下，我们得到显式的有限个分歧签名列表。在奇特征中，我们证明G的Sylow p-子群的阶为p，并通过直接分歧分析确定所有野生边界情形；所得曲线是Artin-Schreier-Kummer纤维积。在特征二中，我们证明2-部分的阶至多为四，并分类所有野生边界情形，包括C4和C12情形的Artin-Schreier-Witt标准型。
英文摘要
Let X be a smooth projective curve of genus g >= 2 over an algebraically closed field K, and suppose that Aut(X) contains a cyclic subgroup G of order N > 2g - 2. The cases N >= 2g + 1 are known. We treat the two boundary values N = 2g and N = 2g - 1. In the tame case we obtain an explicit finite list of ramification signatures. In odd characteristic we prove that the Sylow p-subgroup of G has order p and determine all wild boundary cases by a direct ramification analysis; the resulting curves are Artin-Schreier-Kummer fiber products. In characteristic two we prove that the 2-part has order at most four and classify all wild boundary cases, including Artin-Schreier-Witt normal forms for the C4 and C12 cases.
