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arXiv · 0903.4692

Poincar\'e series and Coxeter functors for Fuchsian singularities

Wolfgang Ebeling·David Ploog
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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.

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Wolfgang Ebeling, David Ploog. 2009-03-26. Poincar\'e series and Coxeter functors for Fuchsian singularities. https://arxiv.org/abs/0903.4692

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