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This article is cited in 5 scientific papers (total in 5 papers)
Canonical maps of pointed nodal curves
I. V. Artamkin Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
In 1983 Knudsen proved that the triple-canonical map of a pointed Deligne–Mumford stable curve is an embedding, and the double-canonical map has no base points. The same question is discussed here for the canonical map. The answer can be stated virtually purely topologically in terms of the dual graph, with the exception of the case of hyperelliptic curves.
Received: 24.10.2003
Citation:
I. V. Artamkin, “Canonical maps of pointed nodal curves”, Sb. Math., 195:5 (2004), 615–642
Linking options:
https://www.mathnet.ru/eng/sm818https://doi.org/10.1070/SM2004v195n05ABEH000818 https://www.mathnet.ru/eng/sm/v195/i5/p3
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