The exactness of the log homotopy sequence
Hoshi, Yuichiro
Hiroshima Math. J., Tome 39 (2009) no. 1, p. 61-122 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2009-03-15
Classification:  fundamental group,  log scheme,  homotopy sequence,  14F35 
@article{1237392380,
     author = {Hoshi, Yuichiro},
     title = {The exactness of the log homotopy sequence},
     journal = {Hiroshima Math. J.},
     volume = {39},
     number = {1},
     year = {2009},
     pages = { 61-122},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1237392380}
}

Hoshi, Yuichiro. The exactness of the log homotopy sequence. Hiroshima Math. J., Tome 39 (2009) no. 1, pp.  61-122. http://gdmltest.u-ga.fr/item/1237392380/