Geodesic
On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups
Documenta mathematica, Tome 23 (2018), pp. 543-597.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We construct a log algebraic version of the homotopy sequence for a normal crossing log variety over a log point of characteristic zero and prove some exactness properties of it. Our proofs are purely algebraic.
Classification : 14F35, 14F40
Keywords: log scheme, fundamental group, homotopy exact sequence, module with integrable connection 
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     author = {Di Proietto, Valentina and Shiho, Atsushi},
     title = {On the {Homotopy} {Exact} {Sequence} for {Log} {Algebraic} {Fundamental} {Groups}},
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Di Proietto, Valentina; Shiho, Atsushi. On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups. Documenta mathematica, Tome 23 (2018), pp. 543-597. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a46/