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arXiv · 2311.05172

Remarks on logarithmic étale 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 étale topology and describe several situations where the structure sheaf and logarithmic structure are logarithmic étale sheaves. We deduce that the logarithmic Picard group is a stack in the full logarithmic étale topology on logarithmic schemes whose structure sheaves satisfy logarithmic étale descent.

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

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