A new proof of monomialisation from 3-folds to surfaces
Algebraic Geometry
2025-02-26 v1
Abstract
In this paper, we give a new proof of the foundational result, due to S. Cutkosky, on the existence of a monomialisation of a morphism from a 3-fold to a surface. Our proof brings to the fore the notion of log-Fitting ideals, and requires us to develop new methods related to Rank Theorems and log-Fitting ideals.
Keywords
Cite
@article{arxiv.2502.17996,
title = {A new proof of monomialisation from 3-folds to surfaces},
author = {Yueting Jiang},
journal= {arXiv preprint arXiv:2502.17996},
year = {2025}
}