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Flat Structure on the Space of Isomonodromic Deformations

Symmetry, integrability and geometry, methods and applications, 2020-11

2020

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Simple singularity of type E 7 and the complex reflection group ST34

Indagationes mathematicae, 2024-07

Sekiguchi, Jiro

2024

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A classification of weighted homogeneous Saito free divisors

Journal of the Mathematical Society of Japan, 2009-10, Vol.61 (4), p.1071-1095

SEKIGUCHI, Jiro

2009

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Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation

Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, 2018, Vol.38 (2), p.201

2018

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Flat Structures and Algebraic Solutions to Painlevé VI Equation

Analytic, Algebraic and Geometric Aspects of Differential Equations, p.383-398

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The WDVV solution E8(a1)

Journal of geometry and physics, 2021-12, Vol.170, p.104388, Article 104388

2021

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UNIFORMIZATION SYSTEMS OF EQUATIONS WITH SINGULARITIES ALONG THE DISCRIMINANT SETS OF COMPLEX REFLECTION GROUPS OF RANK THREE

Kyushu Journal of Mathematics, 2014, Vol.68(1), pp.181-221

2014

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REFLECTION SUBGROUPS OF THE MONODROMY GROUPS OF APPELL’S F4

Kyushu Journal of Mathematics, 2010, Vol.64(2), pp.281-296

2010

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堀田良之：線型代数群の基礎，朝倉数学大系，12，朝倉書店，2016年，xii+309ページ

数学, 2020/01/24, Vol.72(1), pp.89-93

関口, 次郎

2020

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CROSS RATIO VARIETIES FOR ROOT SYSTEMS II: THE CASE OF THE ROOT SYSTEM OF TYPE E7

Kyushu Journal of Mathematics, 2000, Vol.54(1), pp.7-37

SEKIGUCHI, Jiro

2000

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Configurations of seven lines on the real projective plane and the root system of type E7

Journal of the Mathematical Society of Japan, 1999, Vol.51 (4)

SEKIGUCHI, Jiro

1999

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EXPERIMENTAL COMPUTATION OF EIGHT-LINE ARRANGEMENTS GENERATED BY ALL POSSIBLE TRANSVERSALS ON REAL PROJECTIVE PLANE FOR IMAGE PRODUCTION

KANSEI ENGINEERING INTERNATIONAL, 2004, Vol.4 (3), p.1-10

2004

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Solutions to the extended WDVV equations and the Painlevé VI equation

Complex Differential and Difference Equations, 2019, p.343-364

2019

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The versal deformation of the E6-singularity and a family of cubic surfaces

Journal of the Mathematical Society of Japan, 1994, Vol.46 (2)

SEKIGUCHI, Jiro

1994

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The birational action of S5 on P2(C) and the icosahedron

Journal of the Mathematical Society of Japan, 1992-10, Vol.44 (4)

SEKIGUCHI, Jiro

1992

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Simple singularity of type E7 and the complex reflection group ST34

Indagationes mathematicae

Sekiguchi, Jiro

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The closure ordering of adjoint nilpotent orbits in $\mathfrak{so}(p,q)

Tôhoku mathematical journal, 2001-01, Vol.53 (3)

2001

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A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane

Serdica : journal of computing, 2007-10, Vol.1 (4), p.403-424

2007

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The Orders of Invariant Eigendistributions

Publications of the Research Institute for Mathematical Sciences, 1988, Vol.24 (5), p.679-696

Sekiguchi, Jiro

1988

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W (E6)-ACTION ON THE CONFIGURATION SPACE OF SIX LINES ON THE REAL PROJECTIVE PLANE

Kyushu Journal of Mathematics, 1997, Vol.51(2), pp.297-354

1997

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Compactifications of the configuration space of six points of the projective plane and fundamental solutions of the hypergeometric system of type $(3,6)

Tôhoku mathematical journal, 1997-01, Vol.49 (3)

1997

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CROSS RATIO VARIETIES FOR ROOT SYSTEMS

Kyushu Journal of Mathematics, 1994, Vol.48(1), pp.123-168

SEKIGUCHI, Jiro

1994

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Zonal Spherical Functions on Some Symmetric Spaces

Publications of the Research Institute for Mathematical Sciences, 1977, Vol.12 (99), p.455-464

Sekiguchi, Jiro

1977

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Remarks on real nilpotent orbits of a symmetric pair

Journal of the Mathematical Society of Japan, 1987-01, Vol.39 (1), p.127-138

SEKIGUCHI, Jiro

1987

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The Nilpotent Subvariety of the Vector Space Associated to a Symmetric Pair

Publications of the Research Institute for Mathematical Sciences, 1984-01, Vol.20 (1), p.155-212

Sekiguchi, Jiro

1984

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Flat Structure on the Space of Isomonodromic Deformations

Simple singularity of type E 7 and the complex reflection group ST34

A classification of weighted homogeneous Saito free divisors

Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation

Flat Structures and Algebraic Solutions to Painlevé VI Equation

The WDVV solution E8(a1)

UNIFORMIZATION SYSTEMS OF EQUATIONS WITH SINGULARITIES ALONG THE DISCRIMINANT SETS OF COMPLEX REFLECTION GROUPS OF RANK THREE

REFLECTION SUBGROUPS OF THE MONODROMY GROUPS OF APPELL’S F4

堀田良之：線型代数群の基礎，朝倉数学大系，12，朝倉書店，2016年，xii+309ページ

CROSS RATIO VARIETIES FOR ROOT SYSTEMS II: THE CASE OF THE ROOT SYSTEM OF TYPE E7

Configurations of seven lines on the real projective plane and the root system of type E7

EXPERIMENTAL COMPUTATION OF EIGHT-LINE ARRANGEMENTS GENERATED BY ALL POSSIBLE TRANSVERSALS ON REAL PROJECTIVE PLANE FOR IMAGE PRODUCTION

Solutions to the extended WDVV equations and the Painlevé VI equation

The versal deformation of the E6-singularity and a family of cubic surfaces

The birational action of S5 on P2(C) and the icosahedron

Simple singularity of type E7 and the complex reflection group ST34

The closure ordering of adjoint nilpotent orbits in $\mathfrak{so}(p,q)

A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane

The Orders of Invariant Eigendistributions

W (E6)-ACTION ON THE CONFIGURATION SPACE OF SIX LINES ON THE REAL PROJECTIVE PLANE

Compactifications of the configuration space of six points of the projective plane and fundamental solutions of the hypergeometric system of type $(3,6)

CROSS RATIO VARIETIES FOR ROOT SYSTEMS

Zonal Spherical Functions on Some Symmetric Spaces

Remarks on real nilpotent orbits of a symmetric pair

The Nilpotent Subvariety of the Vector Space Associated to a Symmetric Pair

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