Comparison between formal slopes and p-adic slopes
Number Theory
2026-03-10 v2
Abstract
In this paper, we establish several inequalities comparing formal slopes with p-adic slopes of solvable differential modules over the punctured open unit disc. Our approach is based on a delicate analysis of Newton polygons and the log-convexity of generic radius functions.
Keywords
Cite
@article{arxiv.2511.18809,
title = {Comparison between formal slopes and p-adic slopes},
author = {Yezheng Gao},
journal= {arXiv preprint arXiv:2511.18809},
year = {2026}
}