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Analytic Log Picard Varieties

Published online by Cambridge University Press:  11 January 2016

Takeshi Kajiwara
Affiliation:
Department of Applied mathematics, Faculty of Engineering, Yokohama National University, Hodogaya-ku, Yokohama 240-8501, Japan, kajiwara@ynu.ac.jp
Kazuya Kato
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa, Kyoto 606-8502, Japan, ktkz@math.kyoto-u.ac.jp
Chikara Nakayama
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8551, Japan, cnakayam@math.titech.ac.jp
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Abstract

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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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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2008