Parabolic sheaves on logarithmic schemes
Algebraic Geometry
2012-10-26 v2 Number Theory
Abstract
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.
Cite
@article{arxiv.1001.0466,
title = {Parabolic sheaves on logarithmic schemes},
author = {Niels Borne and Angelo Vistoli},
journal= {arXiv preprint arXiv:1001.0466},
year = {2012}
}
Comments
37 pages