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arXiv · 2501.08394

Functorial flatification of proper morphisms

David Rydh
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Abstract

For proper morphisms, we give a functorial flatification algorithm by blow-ups in the spirit of Hironaka's flatification algorithm. In characteristic zero, this gives functorial flatification by blow-ups in smooth centers. We also give a functorial \'etalification algorithm by Kummer blow-ups in characteristic zero.

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David Rydh. 2025-01-14. Functorial flatification of proper morphisms. https://arxiv.org/abs/2501.08394

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