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 [5] and [27] for rational weights, but also includes the case of arbitrary real weights.
Parabolic sheaves with real weights as sheaves on the Kato–Nakayama space
Talpo, Mattia
2018-01-01
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 [5] and [27] for rational weights, but also includes the case of arbitrary real weights.File in questo prodotto:
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