no. 4
On compactifications of character varieties of n-punctured projective line
[Compactifications de variétés de caractères d’une droite projective moins n points]
Komyo, Arata1
1 Department of Mathematics, Graduate School of Science, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe, 657-8501 (Japan)
Annales de l'Institut Fourier, Tome 65 (2015) no. 4, pp. 1493-1523.

Dans cet article, nous construisons des compactifications de SL 2 (ℂ)-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 (ℂ)-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 : 10.5802/aif.2965
Classification : 14L24, 14L30
Keywords: character variety, geometric invariant theory
Mot clés : variétés de caractères, théorie géométrique des invariants

Komyo, Arata 1

1 Department of Mathematics, Graduate School of Science, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe, 657-8501 (Japan) 
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.2965/

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