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@article{JSFU_2008_1_1_a3, author = {Jiro Sekiguchi}, title = {Three {Dimensional} {Saito} {Free} {Divisors} and {Singular} {Curves}}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {33--41}, publisher = {mathdoc}, volume = {1}, number = {1}, year = {2008}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a3/} }
TY - JOUR AU - Jiro Sekiguchi TI - Three Dimensional Saito Free Divisors and Singular Curves JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2008 SP - 33 EP - 41 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a3/ LA - en ID - JSFU_2008_1_1_a3 ER -
Jiro Sekiguchi. Three Dimensional Saito Free Divisors and Singular Curves. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a3/
[1] A. G. Aleksandrov, “Nonisolated hypersurfaces singularities”, Advances in Soviet Math., 1 (1990), 211–246 | MR | Zbl
[2] A. G. Aleksandrov, “Moduli of logarithmic connections along free divisor”, Contemp. Math., 314 (2002), 2–23 | MR | Zbl
[3] A. G. Aleksandrov, J. Sekiguchi, “Free deformations of hypersurface singularities”, RIMS Kokyuroku (to appear)
[4] V. Arnol'd, “Normal forms of functions in the neighbourhoods of degenerate critical points”, Russian Math. Surveys, 29 (1976), 10–50 | DOI | MR
[5] V. Arnol'd, “Local normal forms of functions”, Invent. Math., 35 (1976), 87–109 | DOI | MR | Zbl
[6] N. Bourbaki, Groupes et Algèbres de Lie, Chaps. 4, 5, 6, Herman, Paris, 1968 | MR
[7] J. Damon, “On the freeness of equisingular deformations of plane curve singularities”, Topology Appl., 118:1–2 (2002), 31–43 | DOI | MR | Zbl
[8] W. Ebeling, “Quadratische Formen und Monodromiegruppen von Singularitäten”, Math. Ann., 255 (1981), 463–498 | DOI | MR | Zbl
[9] A. M. Gabrielov, “Dynkin diagrams for unimodular singularities”, Funct. Anal. Appl., 8 (1974), 192–196 | DOI | MR | Zbl
[10] M. Granger, D. Mond, A. N. Reyes, M. Schulze, Linear free divisors, preprint
[11] T. Ishibe, Master thesis presented to RIMS, Kyoto University, 2007
[12] K. Saito, “Theory of logarithmic differential forms and logarithmic vector fields”, J. Faculty of Sciences, Univ. Tokyo, Sect. IA Math., 27 (1980), 265–291 | MR | Zbl
[13] J. Sekiguchi, “Some topics related with discriminant polynomials”, RIMS Kokyuroku, 810 (1992), 85–94 | MR | Zbl
[14] J. Sekiguchi, A classification of weighted homogeneous Saito free divisors in three dimensional space, Preprint
[15] J. Sekiguchi, “Three dimensional Saito free divisors and deformations of singular curves”, RIMS Kokyuroku (to appear)
[16] P. Slodowy, Simple Singularities and Simple Algebraic Groups, Springer LNM, 815 | MR | Zbl
[17] H. Terao, “Arrangements of hyperplanes and their freeness, I, II”, J. Fac. Sci. Univ. Tokyo, Sect. IA Math., 27 (1980), 293–320 | MR
[18] T. Urabe, “Dynkin graphs, Gabrielov graphs, and triangular singularities”, J. Math. Sciences, 82 (1996), 3721–3729 | DOI | MR | Zbl
[19] T. Yano, J. Sekiguchi, “The microlocal structure of weighted homogeneous polynomials associated with Coxeter systems. I”, Tokyo J. Math., 2 (1979), 193–219 | MR | Zbl
[20] T. Yano, J. Sekiguchi, “The microlocal structure of weighted homogeneous polynomials associated with Coxeter systems. II”, Tokyo J. Math., 4 (1981), 1–34 | MR | Zbl