Topological Invariants and Moduli of Gorenstein Singularities

Sergey Natanzon and Anna Pratoussevitch

Journal of Singularities
volume 7 (2013), 61-87

Received: 10 March 2013.

DOI: 10.5427/jsing.2013.7e

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Abstract:

We describe all connected components of the space of hyperbolic Gorenstein quasi-homogeneous surface singularities. We prove that any connected component is homeomorphic to a quotient of R^d by a discrete group.

Keywords:

Gorenstein singularities, Q-Gorenstein singularities, quasi-homogeneous surface singularities, higher spin structures, moduli spaces, Arf functions, lifts of Fuchsian groups

Mathematical Subject Classification:

Primary 32S25, 14H60, 30F35; Secondary 30F60

Author(s) information:

Sergey Natanzon	Anna Pratoussevitch
National Research University Higher School of Economics	Department of Mathematical Sciences
Vavilova Str. 7	University of Liverpool
117312 Moscow, Russia	Liverpool L69-7ZL, UK
email: natanzon@mccme.ru	email: annap@liv.ac.uk