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Sbornik: Mathematics, 2004, Volume 195, Issue 5, Pages 615–642
DOI: https://doi.org/10.1070/SM2004v195n05ABEH000818 (Mi sm818) 		 
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
English version PDF (391 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2004v195n05ABEH000818
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
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 5, Pages 3–32
DOI: https://doi.org/10.4213/sm818
Bibliographic databases:
UDC: 512.772
MSC: Primary 14H10; Secondary 14D20, 14F10
Language: English
Original paper language: Russian
Citation: I. V. Artamkin, “Canonical maps of pointed nodal curves”, Mat. Sb., 195:5 (2004), 3–32; Sb. Math., 195:5 (2004), 615–642
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:11
    References:64
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