Geodesic
On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups
Documenta mathematica, Tome 23 (2018), pp. 543-597
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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.
DOI : 10.4171/dm/626
Classification : 14F35, 14F40
Mots-clés : fundamental group, log scheme, homotopy exact sequence, module with integrable connection 
@article{10_4171_dm_626,
     author = {Valentina Di Proietto and Atsushi Shiho},
     title = {On the {Homotopy} {Exact} {Sequence} for {Log} {Algebraic} {Fundamental} {Groups}},
     journal = {Documenta mathematica},
     pages = {543--597},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/626},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/626/}
}
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Valentina Di Proietto; Atsushi Shiho. On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups. Documenta mathematica, Tome 23 (2018), pp. 543-597. doi: 10.4171/dm/626

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