CONTENTS

1. AN ALGEBRAIC PROOF OF DELIGNE'S REGULARITY CRITERION(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---1

　　　　DEPARTEMENT DE MATHEMATIQUES ET APPLICATIONS, ECOLE NORMALE SUPERIEURE　　　ANDRE, YVES

　

2. The Galois groupoid of Picard-Painleve VI equation(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---15

　　　　IRMAR, Universite de Rennes 1　　　Casale, Guy

　

3. On the Lax pairs of the sixth Painleve equations(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---21

　　　　Service de physique de l'etat condense　　　Conte, Robert

　

4. Matching Procedure for the Sixth Painleve Equation(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---29

　　　　　　　Guzzetti, Davide

　

5. On the Stokes geometry of the Noumi-Yamada system(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---45

　　　　Facutly of Science, Hokkaido University　　　Honda, Naofumi

　

6. Chaos in the Sixth Painleve Equation(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---73

　　　　Graduate School of Mathematics, Kyushu University / Graduate School of Mathematics, Kyushu University　　　Iwasaki, Katsunori / Uehara, Takato

　

7. Linear monodromy of the sixth Painleve transcendents which are meromorphic around a fixed singularity(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---89

　　　　Graduate School of Information Science and Technology, Osaka University　　　Kaneko, Kazuo

　

8. On the Hamiltonian structures of the second and the fourth Painleve hierarchies, and the degenerate Garnier systems(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---99

　　　　Department of Mathematics, Graduate School of Science, Kyoto University　　　KOIKE, Tatsuya

　

9. OKAMOTO SYMMETRY OF PAINLEVE VI EQUATION AND ISOMONODROMIC DEFORMATION OF LAME CONNECTIONS(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---129

　　　　IRMAR　　　LORAY, FRANK

　

10. Rational transformations of confluent hypergeometric equations and algebraic solutions of the Painleve equations : P1 to P5(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---137

　　　　Graduate School of Information Science and Technology, Osaka University　　　Ohyama, Yousuke

　

11. Symmetric Solution of the Painleve III and its Linear Monodromy(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---151

　　　　Graduate School of Science, Osaka University　　　OKUMURA, Shoji

　

12. ON THE GALOIS REDUCIBILITY OF A GERM OF QUASI-HOMOGENEOUS FOLIATION(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---159

　　　　INSTITUT DE MATHEMATIQUES, UNIVERSITE PAUL SABATIER　　　PAUL, E.

　

13. THE $q$-ANALOGUE OF THE WILD FUNDAMENTAL GROUP(I)(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---167

　　　　Institut de France(Academie des Sciences), Laboratoire Emile Picard / Laboratoire Emile Picard　　　Ramis, J.-P. / Sauloy, J.

　

14. Problem : Discrete Painleve equations and their Lax form(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---195

　　　　Graduate School of Mathematical Sciences, University of Tokyo　　　SAKAI, Hidetaka

　

15. Construction of the auxiliary functions for the value distribution of the fifth Painleve transcendents in sectorial domains(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---209

　　　　Graduate School of Mathematics, Kyushu University　　　SASAKI, Yoshikatsu

　

16. SYMMETRY AND HOLOMORPHY OF PAINLEVE TYPE SYSTEMS(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---215

　　　　Graduate School of Mathematical Sciences, University of Tokyo / Department of Mathematics, Kobe University　　　Sasano, Yusuke / Yamada, Yasuhiko

　

17. ASYMPTOTIC SOLUTIONS OF A DEGENERATE GARNIER SYSTEM OF THE FIRST PAINLEVE TYPE(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---227

　　　　Department of Mathematics, Keio University　　　SHIMOMURA, SHUN

　

18. The Lax pair for the sixth Painleve equation arising from Drinfeld-Sokolov hierarchy(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---239

　　　　Department of Mathematics, Kobe University / Department of Mathematics, Kobe University　　　Suzuki, Takao / Fuji, Kenta

　

19. Toward the exact WKB analysis for instanton-type solutions of Painleve hierarchies(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---247

　　　　Research Institute for Mathematical Sciences, Kyoto University　　　Takei, Yoshitsugu

　

20. SINGULAR PARTIAL DIFFERENTIAL EQUATIONS WITH RESONANCE AND SMALL DENOMINATORS(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)---261

　　　　広島大学理学研究科　　　吉野 正史　(Yoshino, Masafumi)