Hiroshima Mathematical Journal

The exactness of the log homotopy sequence

Yuichiro Hoshi

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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.

Article information

Source
Hiroshima Math. J., Volume 39, Number 1 (2009), 61-122.

Dates
First available in Project Euclid: 18 March 2009

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1237392380

Digital Object Identifier
doi:10.32917/hmj/1237392380

Mathematical Reviews number (MathSciNet)
MR2482403

Zentralblatt MATH identifier
1180.14013

Subjects
Primary: 14F35: Homotopy theory; fundamental groups [See also 14H30]

Keywords
fundamental group log scheme homotopy sequence

Citation

Hoshi, Yuichiro. The exactness of the log homotopy sequence. Hiroshima Math. J. 39 (2009), no. 1, 61--122. doi:10.32917/hmj/1237392380. https://projecteuclid.org/euclid.hmj/1237392380


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