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An arithmetic Riemann-Roch theorem for pointed stable curves. (English) Zbl 1183.14038

The author proves an arithmetic Riemann-Roch type theorem for pointed stable curves of genus g in the sense of Knudsen and Mumford. Natural candidates to apply his results are provided by arithmetic models of modular curves.

MSC:

14G40 Arithmetic varieties and schemes; Arakelov theory; heights
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