Geodesic
A description of a result of Deligne by log higher Albanese map
Journal of Singularities, Tome 21 (2020), pp. 282-300

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In a joint work with Kazuya Kato and Chikara Nakayama, log higher Albanese manifolds were constructed as an application of log mixed Hodge theory with group action. In this framework, we describe a work of Deligne on some nilpotent quotients of the fundamental group of the projective line minus three points, where polylogarithms appear. As a result, we have q-expansions of higher Albanese maps at boundary points, i.e., log higher Albanese maps over the boundary.
DOI : 10.5427/jsing.2020.21q
Classification : 14C30, 14D07, 32G20 
@article{10_5427_jsing_2020_21q,
     author = {Sampei Usui},
     title = {A description of a result of {Deligne} by log higher {Albanese} map},
     journal = {Journal of Singularities},
     pages = {282--300},
     publisher = {mathdoc},
     volume = {21},
     year = {2020},
     doi = {10.5427/jsing.2020.21q},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.21q/}
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Sampei Usui. A description of a result of Deligne by log higher Albanese map. Journal of Singularities, Tome 21 (2020), pp. 282-300. doi: 10.5427/jsing.2020.21q

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