Parabolic sheaves on logarithmic schemes
By Niels Borne, Angelo Vistoli. 2010
72 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/226d4faac4e43f222234298e7941b15df27eee4e
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In Geometry and Topology
- D. Abramovich
- Jonathan Wise
- Barbara Fantechi
- Charles Cadman
- Dhruv Ranganathan
- Qile Chen
- Steffen Marcus
- Fabio Nironi
In Mathematical Physics
- D. Abramovich
- Jonathan Wise
- Barbara Fantechi
- Charles Cadman
- Dhruv Ranganathan
- Qile Chen
- Steffen Marcus
- Hsian-Hua Tseng
In Statistical and Nonlinear Physics
Citations in the corpus
- Expanded Degenerations and Pairs (2011, methodology): “Let be the category of line bundles; its fibers S are denoted S in [11].”