Arata Komyo

most citedCanonical coordinates for moduli spaces of rank two irregular connections on curves

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math.AG2023★ 1 cited

Canonical coordinates for moduli spaces of rank two irregular connections on curves

Arata Komyo, Frank Loray, Masa-Hiko Saito +1

In this paper, we study a geometric counterpart of the cyclic vector which allow us to put a rank 2 meromorphic connection on a curve into a ``companion'' normal form. This allow u…

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…