Arata Komyo

most citedOn the moduli spaces of framed logarithmic connections on a Riemann surface

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2021★ 1 cited

On the moduli spaces of framed logarithmic connections on a Riemann surface

Indranil Biswas, Michi-aki Inaba, Arata Komyo +1

We describe some results on moduli space of logarithmic connections equipped with framings on a $n$ -pointed compact Riemann surface.

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…