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Parabolic sheaves with real weights as sheaves on the Kato-Nakayama space

Published 14 Mar 2017 in math.AG | (1703.04777v2)

Abstract: We define quasi-coherent parabolic sheaves with real weights on a fine saturated log analytic space, and explain how to interpret them as quasi-coherent sheaves of modules on its Kato-Nakayama space. This recovers the description as sheaves on root stacks of arXiv:1001.0466 and arXiv:1410.1164 for rational weights, but also includes the case of arbitrary real weights.

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