The log homotopy exact sequence
Algebraic Geometry
2026-03-23 v1
Abstract
We show exactness of the homotopy sequence for the logarithmic fundamental group in the case of log smooth, finitely presented, proper and saturated morphisms of fs log schemes over a field. This generalizes earlier results of Hoshi in the log regular case. In passing, we also construct a "log Stein factorization" in some particular cases.
Keywords
Cite
@article{arxiv.2603.19998,
title = {The log homotopy exact sequence},
author = {Mattia Talpo},
journal= {arXiv preprint arXiv:2603.19998},
year = {2026}
}
Comments
26 pages, comments welcome!