| [1] | Arnold, V. I., Indices of singular points of 1 -forms on a manifold with boundary, convolution of invariants of reflection groups, and singular projections of smooth sur- faces, Uspekhi Mat Nauk, 34:2 (1979), 3-38. |
| [2] | Barlet, D., Formes hermitiennes horizontales et integration dans les fibre, Institut Elie Cartan, Equipe associee d’Analyse Globale n^\circ 839. ·Zbl 0562.32004 |
| [3] | - 9 Developpement asymptotique des fonctions obtenues par integration sur les fibres, Invent, math., 68 (1982), 129-174. ·Zbl 0508.32003 ·doi:10.1007/BF01394271 |
| [4] | Birkhoff, G. D., The generalized Rieman problem for linear differential equations..., Proc. Amer. Acad. Arts. Sci., 49 (1913), 521-568. |
| [5] | Brieskorn, E., Die monodromie der isolierten Singularitaten von Hyperflachen, Man- uscripta math., 2 (1970), 103-160. ·Zbl 0186.26101 ·doi:10.1007/BF01155695 |
| [6] | ? Singular elements of semi-simple algebraic groups, Actes Congres Intern. Math. 2 (1970), 279-284. ·Zbl 0223.22012 |
| [7] | 9 jhe unfolding of exceptional singularities, Nova Acta Leopoldina, NF 52 Nr. 240 (1981), 65-93. |
| [8] | Brylinski, J-L., Transformations canoniques dualite Projective Theorie de Lefschetz, Transformations de Fourier et Sommes Trigonometriques, (1983). |
| [9] | Deligne, P., Equations differentielles a points singulier reguliers, Lecture Notes in Mathematics, 163, Springer-Verlag, 1970. ·Zbl 0244.14004 ·doi:10.1007/BFb0061194 |
| [10] | Ishiura, S. and Noumi, M., A calculus of the GauD-Manin system of type At. I, II. Proc. Japan Acad., 58 (1982), 13-16, 62-65. ·Zbl 0524.32013 ·doi:10.3792/pjaa.58.13 |
| [11] | , The GauG-Manin system of type Ah in preparation. |
| [12] | Kato, M. and Watanabe, S., The flat coordinate system of the rational double point of E8 type, Bull. Coll. Sci., Univ. Ryukyus, 32 (1981), 1-3. ·Zbl 0472.14001 |
| [13] | Kac, V. and Peterson, D. H., Infinite-dimensional Lie algebras, theta functions and modular forms, preprint (1982). ·Zbl 0584.17007 ·doi:10.1016/0001-8708(84)90032-X |
| [14] | Kashiwara, M. and Kawai, T., Microlocal analysis, RIMS-preprint 430, Kyoto Univ. (1983). |
| [15] | Katz, N. M., The regularity theorem in algebraic geometry, Actes Congres Intern. Math. 1 (1970), 437-443. ·Zbl 0235.14006 |
| [16] | Le Dung Trang et Mebkhout, Z., Introduction to linear differential systems, Proc. Symposia in Pure Math., A. M. S. (1983). |
| [17] | Looijenga, E., A period mapping for certain semi-universal deformations, Com. Mah., 30 (1975), 299-316. ·Zbl 0312.14006 |
| [18] | , On the semi-universal deformation of a simple-elliptic hypersurface sin- gularity Part II: The discriminant, Topology, 17 (1978), 23-40. ·Zbl 0392.57013 ·doi:10.1016/0040-9383(78)90010-1 |
| [19] | ? Homogeneous spaces associated to unimodular singularities, Proc. Int. Congress Helsinki (1978), 531-536. |
| [20] | , Root systems and elliptic curves, Invent, math., 38 (1976), 17-32. |
| [21] | , Invariant theory for generalized root systems, Invent, math., 61 (1980), 1-32. ·Zbl 0436.17005 ·doi:10.1007/BF01389892 |
| [22] | Malgrange, B., Integrates asymptotiques et monodromie, Ann. E. N. S. 4^\circ 7 (1974). ·Zbl 0305.32008 |
| [23] | , Modules microdifferentiels et classes de Gevrey, Advances in Math. IB (1981), 513-530. |
| [24] | 1 Deformation de modules differentiels et microdifferentiels, preprint. [25] , Sur les deformations isomonodromiques, I, Singularites Regulieres. |
| [25] | Milnor, J. W., Singular points of complex hypersurfaces, Ann. of Math. Studies 61 Princeton Univ. Press, 1968. ·Zbl 0184.48405 |
| [26] | Namikawa, Y., Higher residues associated with an isolated hypersurface singularity, Advanced Studies in Pure Math., I (1982). ·Zbl 0512.32007 |
| [27] | Noumi, M., Expantion of the solution of a GauB-Manin system at a point of infinity, preprint, 1982. |
| [28] | Pham, F., Singularities des systemes differentiels de Gauft-Manin, Birkhauser, (1979). |
| [29] | , Structure de Hodge mixed associees a un germ de fonction a point critiques isolee, preprint. |
| [30] | , Remarque sur I’equivalence des fonctions de phase, Institut Fourier Uni- versite de Grenoble I. |
| [31] | Pinkham, H. C., Simple-elliptic singularities, del Pezzo surfaces and Cremona trans- formations, Proceedings of Symposia in Pure Mathematics, 30 (1977), 69-71. ·Zbl 0391.14006 |
| [32] | Saito, K., On a linear structure of a quotient variety by a finite reflexion group, RIMS- preprint 288, Kyoto Univ. (1979). |
| [33] | ? Theory of logarithmic differential forms and logarithmic vector fields, /. Fac. ScL Univ. Tokyo, Sect. IA Math, 27 (1981), 265-291. ·Zbl 0496.32007 |
| [34] | j On the periods of primitive integrals, preprint, Harvard, 1980. |
| [35] | 9 Primitive forms for a universal unfolding of a function with an isolated critical point, /. Fuc. ScL Univ. Tokyo, Sect. IA Math, 28 (1982), 775-792. ·Zbl 0523.32015 |
| [36] | 9 The zeroes of characteristic function xf for the exponents of a hypersurface isolated singular point, Advanced Studies in Pure Math., 1 (1982), 193-215. |
| [37] | , The higher residue pairings Kpk* for a family of hypersurface singular points, Proc. Symposia in Pure Math., A. M. S., Arcata, 1981. |
| [38] | ? A characterization of the intersection form of a Milnor’s fiber for a function with an isolated critical point, Proc. Japan Acad., 58, Ser. A, No. 2, (1982), 79-81. ·Zbl 0539.57011 ·doi:10.3792/pjaa.58.79 |
| [39] | , On the identification of intersection form on the middle homology group with the flat function via period mapping, Proc. Japan Acad., 58, Ser. A, No. 5 (1982), 196-199. ·Zbl 0562.32005 ·doi:10.3792/pjaa.58.196 |
| [40] | ? On the periods of primitive integrals I, RIMS-preprint 412, Kyoto Univ. 1982. |
| [41] | , The primitive forms for simply elliptic singularities, in preparation. |
| [42] | 9 Extended affine root systems and their invariants, in preparation. |
| [43] | Saito, K., Yano, T. and Sekiguchi, J., On a certain generator system of the ring of invariants of a finite reflexion group, Comm. Algebra 8 (4) (1980), 373-408. ·Zbl 0428.14020 ·doi:10.1080/00927878008822464 |
| [44] | Saito, M., Hodge filtrations on GauO-Manin system I, IT, preprint, 1982. |
| [45] | , On the structure of Brieskorn lattice, preprint. [47] Slodowy, P., Simple singularities and simple algebraic groups, Lecture Notes in Math. 815, 1980. |
| [46] | f Chevalley group over C((t)) and deformations of simply elliptic singularities, RIMS-preprint 415, Kyoto Univ., (1981), 19-38. |
| [47] | 9 A character approach to Looijenga’s invariant theory for generalized root system, preprint. |
| [48] | Steenbrink, J., Mixed Hodge structure on the vanishing cohomology, in Real and Complex Singularities, Proceedings of the Nordic Summer School, Oslo, 1976. ·Zbl 0373.14007 |
| [49] | Teissier, B., These, Universite de Paris VII, 1973. |
| [50] | Terao, H., Generalized exponents of a free arrangement of hyperplanes and Shephard- Todd-Brieskorn formula, Invent, math., 63 (1981), 159-179. ·Zbl 0437.51002 ·doi:10.1007/BF01389197 |
| [51] | 9 Discriminant of a holomorphic map and logarithmic vector fields, to appear. |
| [52] | ^ jhe bifurcation set and logarithmic vector fields, Math. Ann., to appear. ·Zbl 0497.32016 ·doi:10.1007/BF01457134 |
| [53] | Thorn, R., Ensembles et morphismes stratifies, Bull. Amer. Math. Soc., 75 (1969). ·Zbl 0197.20502 ·doi:10.1090/S0002-9904-1969-12138-5 |
| [54] | Varchenko, A., Asymptotic mixed Hodge structure on vanishing cohomology, Izv. Akad. Nauk SSSR, Ser. math., 45 (1981), 541-591. ·Zbl 0476.14002 |
| [55] | Varcenko, A. N., On the monodromy operator of multiplication by/in the local ring, Soviet Math. Dokl, 24 (1981). |
| [56] | Varcenko, A. N. and Givental, A. B., Period mapping and intersection form, Func- tional Analysis and its Application, 16 (1982), 7-20. ·Zbl 0497.32008 |
| [57] | Yano, T., Flat coordinate system for the deformation of type E6, Proc. Japan Acad. 57, Ser. A. No. 8 (1981), 412-414. ·Zbl 0524.14003 ·doi:10.3792/pjaa.57.412 |
| [58] | , Flat coordinate system for the deformation of type E7, in preparation. |
