Parabolic sheaves on logarithmic schemes

Mathematics – Algebraic Geometry

Scientific paper

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37 pages

Scientific paper

We show how the natural context for the definition of parabolic sheaves on a scheme is that of logarithmic geometry. The key point is a reformulation of the concept of logarithmic structure in the language of symmetric monoidal categories, which might be of independent interest. Our main result states that parabolic sheaves can be interpreted as quasi-coherent sheaves on certain stacks of roots.

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