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arXiv · 2502.17996

A new proof of monomialisation from 3-folds to surfaces

Yueting Jiang
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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.

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Yueting Jiang. 2025-02-25. A new proof of monomialisation from 3-folds to surfaces. https://arxiv.org/abs/2502.17996

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