Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Komyo, Arata"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 5, Pp 617-624 (2021)
We describe some results on moduli space of logarithmic connections equipped with framings on a $n$-pointed compact Riemann surface.
Externí odkaz:
https://doaj.org/article/c74d71df29dc4270ad99f1b44ef97b2b
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 us to naturally identify an open set of the moduli space of $\mathrm{GL
Externí odkaz:
http://arxiv.org/abs/2309.05012
Autor:
Komyo, Arata
In this paper, a nonclassical algebraic solution of a 3-variable irregular Garnier system is constructed. Diarra--Loray have studied classification of algebraic solutions of irregular Garnier systems. There are two type of the algebraic solutions: cl
Externí odkaz:
http://arxiv.org/abs/2205.14979
In this paper, we study rank 2 (quasi) parabolic bundles over the Riemann sphere with an effective divisor and these moduli spaces. First we consider a criterium when a parabolic bundle admits a unramified irregular singular parabolic connection. Sec
Externí odkaz:
http://arxiv.org/abs/2203.10816
Autor:
Komyo, Arata
In this paper, we consider the generalized isomonodromic deformations of rank two irregular connections on the Riemann sphere. We introduce Darboux coordinates on the parameter space of a family of rank two irregular connections by apparent singulari
Externí odkaz:
http://arxiv.org/abs/2003.08045
Autor:
Komyo, Arata
A. Girand has constructed an explicit two-parameter family of flat connections over the complex projective plane $\mathbb{P}^2$. These connections have dihedral monodromy and their polar locus is a prescribed quintic composed of a conic and three tan
Externí odkaz:
http://arxiv.org/abs/1806.00970
Autor:
Komyo, Arata
Publikováno v:
SIGMA 14 (2018), 111, 22 pages
In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase
Externí odkaz:
http://arxiv.org/abs/1710.03977
Autor:
Komyo, Arata
In this paper, we treat moduli spaces of parabolic connections. We take \'etale coverings of the moduli spaces, and we construct a Hamiltonian structure of an algebraic vector field determined by the isomonodromic deformation for each \'etale morphis
Externí odkaz:
http://arxiv.org/abs/1611.03601
Autor:
Komyo, Arata, Saito, Masa-Hiko
Publikováno v:
Kyoto J. Math. 59, no. 3 (2019), 515-552
In this paper, we investigate the apparent singularities and the dual parameters of rank 2 parabolic connections on $\mathbb{P}^1$ and rank 2 (parabolic) Higgs bundle on $\mathbb{P}^1$. Then we obtain explicit descriptions of Zariski open sets of the
Externí odkaz:
http://arxiv.org/abs/1611.00971
Autor:
Komyo, Arata
We fix integers $k> 0$ and $n>0$. For a $k$-punctured Riemann surface $\Sigma \setminus \{ p_1,\ldots,p_k \}$ and a $k$-tuple $\boldsymbol{\mu}=(\mu^1,\ldots,\mu^k)$ of partitions of $n$, we can define the character variety of type $\boldsymbol{\mu}$
Externí odkaz:
http://arxiv.org/abs/1406.2853