Notes on acceptable bundles I
Algebraic Geometry
2026-04-09 v2 Complex Variables
Differential Geometry
Abstract
The notion of acceptable bundles plays a fundamental role in the Simpson--Mochizuki theory. This paper presents a detailed study of acceptable bundles on a punctured disk. In addition to its expository aspects, we introduce a new invariant and provide arguments that differ from those of Simpson and Mochizuki.
Keywords
Cite
@article{arxiv.2511.00760,
title = {Notes on acceptable bundles I},
author = {Osamu Fujino and Taro Fujisawa and Takashi Ono},
journal= {arXiv preprint arXiv:2511.00760},
year = {2026}
}
Comments
62 pages, v2: Title change; minor revisions. For Part II, see arXiv:2604.05233 [math.AG]