On compactifications of character varieties of $n$-punctured projective line

Arata Komyo

On compactifications of character varieties of $n$-punctured projective line

Algebraic Geometry 2015-01-14 v2

Authors: Arata Komyo

Abstract

In this paper, we construct compactifications of $SL_2(\mathbb{C})$ -character varieties of $n$ -punctured projective line and study the boundary divisor of the compactifications. This study is motivated by the conjecture for the configuration of the boundary divisor, due to C. Simpson. We verify the conjecture for a few examples.

Keywords

character varieties compactifications punctured projective line boundary divisor sl2(c) simpson's conjecture algebraic geometry

Cite

@article{arxiv.1307.7880,
  title  = {On compactifications of character varieties of $n$-punctured projective line},
  author = {Arata Komyo},
  journal= {arXiv preprint arXiv:1307.7880},
  year   = {2015}
}

Comments

23 pages, 3 figures, to appear in Annales de l'Institut Fourier

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