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Log structures, semistable degenerations, log crystalline cohomology, log de Rham cohomology, log smoothness, log Gromov-Witten theory
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Reference request: Kummer étale topology and tame topology
He did not say that the sites are equal as this claim is wrong in general, but that the categories of covers, i.e. finite morphisms which cover the log scheme (See definition 3.1. of the same paper), …