Mumford 族的 Deuring 质量公式
代数几何
2013-11-12 v2
摘要
我们研究了特征 p 下 Mumford 族的 Newton 多边形跳跃轨迹。我们的主要结果表明，在关于 p 的一个温和假设下，跳跃轨迹仅由超奇异点组成，且其基数等于 (pʳ – 1)(g – 1)，其中 r 是特征 p 下 Mumford 族基曲线的定义域的度数，g 是该曲线的亏格。所用的核心技术是 p-进 Hodge 理论。
引用
@article{arxiv.1111.5983,
title = {Deuring's mass formula of a Mumford family},
author = {Mao Sheng and Kang Zuo},
journal= {arXiv preprint arXiv:1111.5983},
year = {2013}
}
备注
36 pages. This is the final version of our early manuscript with title "On the Newton stratification of a Shimura curve of Hodge type: the case of corestriction". We thank warmly the anonymous referees for their great efforts to improve the quality of the work. It is accepted for publication by Transactions of the AMS