On compactifications of character varieties of n-punctured projective line  [ Compactifications de variétés de caractères d’une droite projective moins n points ]
Annales de l'Institut Fourier, Tome 65 (2015) no. 4, pp. 1493-1523.

Dans cet article, nous construisons des compactifications de SL 2 ()-variétés de caractères d’une droite projective moins n points et étudions les diviseurs au bord des compactifications. Cette étude est motivée par une conjecture, due à C. Simpson, sur les configurations des diviseurs au bord. Nous vérifions quelques cas de la conjecture.

In this paper, we construct compactifications of SL 2 ()-character varieties of n-punctured projective line and study the boundary divisors of the compactifications. This study is motivated by a conjecture for the configurations of the boundary divisors, due to C. Simpson. We verify the conjecture for a few examples.

DOI : https://doi.org/10.5802/aif.2965
Classification : 14L24,  14L30
Mots clés : variétés de caractères, théorie géométrique des invariants
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     author = {Komyo, Arata},
     title = {On compactifications of character varieties of $n$-punctured projective line},
     journal = {Annales de l'Institut Fourier},
     pages = {1493--1523},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {65},
     number = {4},
     year = {2015},
     doi = {10.5802/aif.2965},
     language = {en},
     url = {www.numdam.org/item/AIF_2015__65_4_1493_0/}
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Komyo, Arata. On compactifications of character varieties of $n$-punctured projective line. Annales de l'Institut Fourier, Tome 65 (2015) no. 4, pp. 1493-1523. doi : 10.5802/aif.2965. http://www.numdam.org/item/AIF_2015__65_4_1493_0/

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