Analytic Log Picard Varieties

We introduce a log Picard variety over the complex number field by the method of log geometry in the sense of Fontaine-Illusie, and study its basic properties, especially, its relationship with the group of log version of m -torsors.

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Bibliographic Details
Published inNagoya mathematical journal Vol. 191; pp. 149 - 180
Main Authors Kajiwara, Takeshi, Kato, Kazuya, Nakayama, Chikara
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 2008
Duke University Press
Subjects
14K20
14K30
32G20
32G20
14K20
14K30
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Summary:We introduce a log Picard variety over the complex number field by the method of log geometry in the sense of Fontaine-Illusie, and study its basic properties, especially, its relationship with the group of log version of m -torsors.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000025940