Skeletons and fans of logarithmic structures
Algebraic Geometry
2015-06-30 v2
Abstract
We survey a collection of closely related methods for generalizing fans of toric varieties, include skeletons, Kato fans, Artin fans, and polyhedral cone complexes, all of which apply in the wider context of logarithmic geometry. Under appropriate assumptions these structures are equivalent, but their different realizations have provided for surprisingly disparate uses. We highlight several current applications and suggest some future possibilities.
Keywords
Cite
@article{arxiv.1503.04343,
title = {Skeletons and fans of logarithmic structures},
author = {Dan Abramovich and Qile Chen and Steffen Marcus and Martin Ulirsch and Jonathan Wise},
journal= {arXiv preprint arXiv:1503.04343},
year = {2015}
}
Comments
51 pages, 8 figures