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I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a log smooth projective variety of dimension $n$?

Maybe it is interesting to consider some kind of parabolic sheaves?

Any reference on the subject is welcome!

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    $\begingroup$ A good starting point would be Talpo--Vistoli, Infinite root stacks and quasi-coherent sheaves on logarithmic schemes. $\endgroup$
    – pbelmans
    Commented Jan 15, 2021 at 14:08
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    $\begingroup$ Niziol's article math.utah.edu/~niziol/klog11.pdf has a section 3. Coherent and locally free sheaves on log-schemes $\endgroup$
    – Niels
    Commented Jan 15, 2021 at 21:33

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