Tsuchihashi's cusp singularities and automorphisms of Hilbert modular variety cusps
Copyright policy )Tsuchihashi's cusp singularities and automorphisms of Hilbert modular variety cusps
\textit{H. Tsuchihashi} [Tôhoku J. Math., II. Ser. 35, 607--639 (1983; Zbl 0585.14004)] introduced a class of cusp singularities extending the class of Hilbert modular variety cusps. Here, a necessary and sufficient condition for a cusp in this sense to be a Hilbert modular variety cusp is proved. Some cusps occur as finite quotients of Hilbert modular variety cusps: these are described, and so, more generally, are all the germs of automorphisms at a Hilbert modular variety cusp.
- DigiZeitschriften Germany
- University of Cambridge United Kingdom
510.mathematics, cusp singularities, Hilbert modular variety cusp, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Article, Singularities of surfaces or higher-dimensional varieties
510.mathematics, cusp singularities, Hilbert modular variety cusp, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Article, Singularities of surfaces or higher-dimensional varieties
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