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March 2009 The exactness of the log homotopy sequence
Yuichiro Hoshi
Hiroshima Math. J. 39(1): 61-122 (March 2009). DOI: 10.32917/hmj/1237392380

Abstract

In the present paper, we develop the theory of log homotopy exact sequences associated to proper log smooth morphisms and morphisms whose characteristic sheaves are locally constant with stalks isomorphic to the monoid of natural numbers. In the process of developing this theory, we also show the existence of a logarithmic version of the Stein factorization and develop the theory of algebraization of log formal schemes.

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Yuichiro Hoshi. "The exactness of the log homotopy sequence." Hiroshima Math. J. 39 (1) 61 - 122, March 2009. https://doi.org/10.32917/hmj/1237392380

Information

Published: March 2009
First available in Project Euclid: 18 March 2009

zbMATH: 1180.14013
MathSciNet: MR2482403
Digital Object Identifier: 10.32917/hmj/1237392380

Subjects:
Primary: 14F35

Rights: Copyright © 2009 Hiroshima University, Mathematics Program

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Vol.39 • No. 1 • March 2009
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