Arata Komyo

activity

20132025

most citedOn compactifications of character varieties of

n

-punctured projective line

3 citations · 14 across the 14 of their papers we have counts for

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Showing 2014 · math.AGShow all

2 papers · 2 filters

math.AG2014

On the types of the mixed Hodge structures of character varieties

Arata Komyo

In this paper, we show that the mixed Hodge structures of character varieties are of Hodge--Tate type and that the mixed Hodge polynomials are independent of the choice of generic…

math.AG2014

Pure parts of the mixed Hodge structures of character varieties of indivisible type

Arata Komyo

We fix integers $k > 0$ and $n > 0$ . For a $k$ -punctured Riemann surface $Σ ∖ {p_{1}, \dots, p_{k}}$ and a $k$ -tuple $μ = (μ^{1}, \dots, μ^{k})$ of partitions of $n$ , we can…