Poincar\'e series and Coxeter functors for Fuchsian singularities
classification
🧮 math.AG
keywords
coxeterfuchsianpoincarseriessingularitiesarbitrarycategoriesconceptual
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.