Poincar\'e series and Coxeter functors for Fuchsian singularities
Algebraic Geometry
2013-01-11 v1
Abstract
We consider Fuchsian singularities of arbitrary genus and prove, in a conceptual manner, a formula for their Poincar\'e series. This uses Coxeter elements involving Eichler-Siegel transformations. We give geometrical interpretations for the lattices and isometries involved, lifting them to triangulated categories.
Cite
@article{arxiv.0903.4692,
title = {Poincar\'e series and Coxeter functors for Fuchsian singularities},
author = {Wolfgang Ebeling and David Ploog},
journal= {arXiv preprint arXiv:0903.4692},
year = {2013}
}
Comments
11 pages, 1 figure