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arXiv · 2303.10407

Inverting log blow-ups in log geometry

Doosung Park
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Abstract

In the category of log schemes, it is unclear how to define the blow-ups for non-strict closed immersions. In this article, we introduce the notion of divided log spaces. We obtain the category of divided log spaces by locally inverting log blow-ups in the category of log schemes. We show that blow-ups exist for closed immersions of log smooth divided log spaces. This is an ingredient of the motivic six-functor formalism for log schemes.

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Doosung Park. 2023-03-18. Inverting log blow-ups in log geometry. https://doi.org/10.2140/tunis.2024.6.405

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