Singular open book structures from real mappings
Raimundo Araújo dos Santos; Ying Chen; Mihai Tibăr
Open Mathematics (2013)
- Volume: 11, Issue: 5, page 817-828
- ISSN: 2391-5455
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top- [1] Araújo dos Santos R., Tibăr M., Real map germs and higher open book structures, Geom. Dedicata, 2010, 147, 177–185 http://dx.doi.org/10.1007/s10711-009-9449-z Zbl1202.32026
- [2] Araújo dos Santos R., Tibăr M., Real map germs and higher open books, preprint available http://arxiv.org/abs/0801.3328 Zbl1202.32026
- [3] Cisneros-Molina J.L., Join theorem for polar weighted homogeneous singularities, In: Singularities II, Cuernavaca, January 8–26, 2007, Contemp. Math., 475, American Mathematical Society, Providence, 2008, 43–59 Zbl1172.32008
- [4] Cisneros-Molina J.L., Seade J., Snoussi J., Milnor fibrations and d-regularity for real analytic singularities, Internat. J. Math., 2010, 21(4), 419–434 http://dx.doi.org/10.1142/S0129167X10006124 Zbl1198.32013
- [5] Ehresmann C., Les connexions infinitésimales dans un espace fibré différentiable, In: Colloque de Topologie (Espaces Fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, 29–55
- [6] Gibson C.G., Wirthmüller C., du Plessis A.A., Looijenga E.J.N., Topological Stability of Smooth Mappings, Lecture Notes in Math., 552, Springer, Berlin-New York, 1976 http://dx.doi.org/10.1007/BFb0095246 Zbl0377.58006
- [7] Hamm H.A., Lê D.T., Un théorème de Zariski du type de Lefschetz, Ann. Sci. École Norm. Sup., 1973, 6(3), 317–355
- [8] Hironaka H., Stratification and flatness, In: Real and Complex Singularities, Oslo, August 5–25, 1976, Sijthoff and Noordhoff, Alphen aan den Rijn, 1977, 199–265 http://dx.doi.org/10.1007/978-94-010-1289-8_8
- [9] Jacquemard A., Fibrations de Milnor pour des applications réelles, C. R. Acad. Sci. Paris Sér. I Math., 1983, 296(10), 443–446 Zbl0589.32018
- [10] Jacquemard A., Fibrations de Milnor pour des applications réelles, Boll. Un. Mat. Ital. B, 1989, 3(3), 591–600 Zbl0729.55011
- [11] Lê D.T., Some remarks on relative monodromy, In: Real and Complex Singularities, Oslo, August 5–25, 1976, Sijthoff and Noordhoff, Alphen aan den Rijn, 1977, 397–403
- [12] Looijenga E., A note on polynomial isolated singularities, Indag. Math., 1971, 33, 418–421 Zbl0234.57010
- [13] Massey D.B., Real analytic Milnor fibrations and a strong Łojasiewicz inequality, In: Real and Complex Singularities, London Math. Soc. Lecture Note Ser., 380, Cambridge University Press, Cambridge, 2010, 268–292 http://dx.doi.org/10.1017/CBO9780511731983.020 Zbl1222.32054
- [14] Milnor J., Singular Points of Complex Hypersurfaces, Ann. of Math. Studies, 61, Princeton University Press, Princeton, 1968 Zbl0184.48405
- [15] Némethi A., Zaharia A., Milnor fibration at infinity, Indag. Math., 1992, 3(3), 323–335 http://dx.doi.org/10.1016/0019-3577(92)90039-N Zbl0806.57021
- [16] Oka M., Topology of polar weighted homogeneous hypersurfaces, Kodai Math. J., 2008, 31(2), 163–182 http://dx.doi.org/10.2996/kmj/1214442793
- [17] Oka M., Non-degenerate mixed functions, Kodai Math. J., 2010, 33(1), 1–62 http://dx.doi.org/10.2996/kmj/1270559157
- [18] Pichon A., Seade J., Fibred multilinks and singularities fḡ, Math. Ann., 2008, 342(3), 487–514 http://dx.doi.org/10.1007/s00208-008-0234-3 Zbl1169.32006
- [19] Ruas M.A.S., Araújo dos Santos R.N., Real Milnor fibrations and (c)-regularity, Manuscripta Math., 2005, 117(2), 207–218 http://dx.doi.org/10.1007/s00229-005-0555-4 Zbl1084.32023
- [20] Ruas M.A.S., Seade J., Verjovsky A., On real singularities with a Milnor fibration, In: Trends in Singularities, Trends Math., Birkhäuser, Basel, 2002, 191–213 http://dx.doi.org/10.1007/978-3-0348-8161-6_9 Zbl1020.32027
- [21] Tibăr M., On the monodromy fibration of polynomial functions with singularities at infinity, C. R. Acad. Sci. Paris Sér. I Math., 1997, 324(9), 1031–1035 http://dx.doi.org/10.1016/S0764-4442(97)87881-0 Zbl0882.32021
- [22] Tibăr M., Regularity at infinity of real and complex polynomial functions, In: Singularity Theory, Liverpool, August 18–24, 1996, London Math. Soc. Lecture Note Ser., 263, Cambridge University Press, Cambridge, 1999, 249–264
- [23] Tibăr M., Polynomials and Vanishing Cycles, Cambridge Tracts in Math., 170, Cambridge University Press, Cambridge, 2007 Zbl1126.32026
- [24] Winkelnkemper H.E., Manifolds as open books, Bull. Amer. Math. Soc., 1973, 79(1), 45–51 http://dx.doi.org/10.1090/S0002-9904-1973-13085-X Zbl0269.57011
- [25] Wolf J.A., Differentiable fibre spaces and mappings compatible with Riemannian metrics, Michigan Math. J., 1964, 11(1), 65–70 http://dx.doi.org/10.1307/mmj/1028999036 Zbl0116.39202
- [26] Mini-Workshop: Topology of Real Singularities and Motivic Aspects, Oberwolfach, September 30–October 3, 2012, Oberwolfach Report No. 48/2012, Mathematisches Forschungsinstitut Oberwolfach, 2012, DOI: 10.4171/OWR/2012/48