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arXiv · 2311.05172

Remarks on logarithmic \'etale sheafification

Samouil Molcho·Jonathan Wise
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Abstract

We prove criteria for a presheaf on logarithmic schemes to be a sheaf in the full logarithmic \'etale topology and describe several situations where the structure sheaf and logarithmic structure are logarithmic \'etale sheaves. We deduce that the logarithmic Picard group is a stack in the full logarithmic \'etale topology on logarithmic schemes whose structure sheaves satisfy logarithmic \'etale descent.

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Samouil Molcho, Jonathan Wise. 2023-11-09. Remarks on logarithmic \'etale sheafification. https://arxiv.org/abs/2311.05172

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