Singularities at infinity and their vanishing cycles
Dirk Siersma and Mihai Tibăr
Source: Duke Math. J. Volume 80, Number 3
(1995), 771-783.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077246293
Mathematical Reviews number (MathSciNet): MR1370115
Zentralblatt MATH identifier: 0871.32024
Digital Object Identifier: doi:10.1215/S0012-7094-95-08026-0
References
[BMM] J. Briançon, P. Maisonobe, and M. Merle, Localisation de systèmes différentiels, stratifications de Whitney et condition de Thom, Invent. Math. 117 (1994), no. 3, 531–550.
Mathematical Reviews (MathSciNet): MR95h:32043
Zentralblatt MATH: 0920.32010
Digital Object Identifier: doi:10.1007/BF01232255
[Br1] S. A. Broughton, On the topology of polynomial hypersurfaces, Singularities, Part 1 (Arcata, Calif., 1981), Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, RI, 1983, pp. 167–178.
Mathematical Reviews (MathSciNet): MR85d:14033
Zentralblatt MATH: 0526.14010
[Br2] S. A. Broughton, Milnor numbers and the topology of polynomial hypersurfaces, Invent. Math. 92 (1988), no. 2, 217–241.
Mathematical Reviews (MathSciNet): MR89h:32025
Zentralblatt MATH: 0658.32005
Digital Object Identifier: doi:10.1007/BF01404452
[Di] A. Dimca, On the connectivity of complex affine hypersurfaces, Topology 29 (1990), no. 4, 511–514.
Mathematical Reviews (MathSciNet): MR93c:32011
Zentralblatt MATH: 0771.57010
Digital Object Identifier: doi:10.1016/0040-9383(90)90019-G
[Du] A. Durfee, Neighborhoods of algebraic sets, Trans. Amer. Math. Soc. 276 (1983), no. 2, 517–530.
Mathematical Reviews (MathSciNet): MR84m:32013
Zentralblatt MATH: 0529.14013
Digital Object Identifier: doi:10.2307/1999065
JSTOR: links.jstor.org
[GM] M. Goresky and R. MacPherson, Stratified Morse theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 14, Springer-Verlag, Berlin, 1988.
Mathematical Reviews (MathSciNet): MR90d:57039
Zentralblatt MATH: 0639.14012
[Ha] H. V. Hà, On irregular algebraic plane curves, preprint 4, National Centre for Scientific Research of Vietnam, Hanoi, 1991.
[HL] Hà H.-V. and Lê D.-T., Sur la topologie des polynômes complexes, Acta Math. Vietnam. 9 (1984), no. 1, 21–32 (1985).
Mathematical Reviews (MathSciNet): MR87d:32020
Zentralblatt MATH: 0597.32005
[HL1] H. Hamm and Lê D. T., Rectified homotopical depth and Grothendieck conjectures, The Grothendieck Festschrift, Vol. II, Progr. Math., vol. 87, Birkhäuser Boston, Boston, MA, 1990, pp. 311–351.
Mathematical Reviews (MathSciNet): MR92j:32131
Zentralblatt MATH: 0725.14016
[Ka] M. Kato, Partial Poincaré duality for $k$-regular spaces and complex algebraic sets, Topology 16 (1977), no. 1, 33–50.
Mathematical Reviews (MathSciNet): MR56:8900
Zentralblatt MATH: 0367.14009
Digital Object Identifier: doi:10.1016/0040-9383(77)90029-5
[L1] Lê D.-T., La monodromie n'a pas de points fixes, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 22 (1975), no. 3, 409–427.
Mathematical Reviews (MathSciNet): MR53:5583
Zentralblatt MATH: 0355.32012
[L2] Lê D.-T., Some remarks on relative monodromy, Real and complex singularities (Proc. Ninth Nordic Summer School/NAVF Sympos. Math., Oslo, 1976), Sijthoff and Noordhoff, Alphen aan den Rijn, 1977, pp. 397–403.
Mathematical Reviews (MathSciNet): MR57:16296
Zentralblatt MATH: 0428.32008
[L3] Lê D.-T., Complex analytic functions with isolated singularities, J. Algebraic Geom. 1 (1992), no. 1, 83–99.
Mathematical Reviews (MathSciNet): MR92j:32132
Zentralblatt MATH: 0777.32018
[L4] Lê D.-T., Le concept de singularité isolée de fonction analytique, Complex analytic singularities, Adv. Stud. Pure Math., vol. 8, North-Holland, Amsterdam, 1987, pp. 215–227.
Mathematical Reviews (MathSciNet): MR88d:32018
Zentralblatt MATH: 0656.32005
[LS] Lê D.-T. and K. Saito, La constance du nombre de Milnor donne des bonnes stratifications, C. R. Acad. Sci. Paris Sér. A-B 277 (1973), A793–A795.
Mathematical Reviews (MathSciNet): MR50:2556
Zentralblatt MATH: 0283.32007
[LW] Lê D.-T. and C. Weber, Polynômes à fibres rationnelles et conjecture jacobienne à 2 variables, C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 5, 581–584.
Mathematical Reviews (MathSciNet): MR96b:14013
Zentralblatt MATH: 0834.14007
[Ma] J. Mather, Stratifications and mappings, Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971) ed. M. Peixoto, Academic Press, New York, 1973, pp. 195–232.
Mathematical Reviews (MathSciNet): MR51:4306
Zentralblatt MATH: 0286.58003
[Mi] J. Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J., 1968.
Mathematical Reviews (MathSciNet): MR39:969
Zentralblatt MATH: 0184.48405
[N] A. Némethi, Théorie de Lefschetz pour les variétés algébriques affines, C. R. Acad. Sci. Paris Sér. I Math. 303 (1986), no. 12, 567–570.
Mathematical Reviews (MathSciNet): MR88f:14019
Zentralblatt MATH: 0612.14007
[NZ] A. Némethi and A. Zaharia, On the bifurcation set of a polynomial function and Newton boundary, Publ. Res. Inst. Math. Sci. 26 (1990), no. 4, 681–689.
Mathematical Reviews (MathSciNet): MR92c:32046
Zentralblatt MATH: 0736.32024
Digital Object Identifier: doi:10.2977/prims/1195170853
[Pa] A. Parusinski, On the bifurcation set of a complex polynomial with isolated singularities at infinity, to appear in Compositio Math.
Mathematical Reviews (MathSciNet): MR1353280
Zentralblatt MATH: 0840.32007
[Sw] R. Switzer, Algebraic topology—homotopy and homology, Springer-Verlag, New York, 1975.
Mathematical Reviews (MathSciNet): MR52:6695
Zentralblatt MATH: 0305.55001
[T] R. Thom, Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75 (1969), 240–284.
Mathematical Reviews (MathSciNet): MR39:970
Zentralblatt MATH: 0197.20502
Digital Object Identifier: doi:10.1090/S0002-9904-1969-12138-5
Project Euclid: euclid.bams/1183530285
[Ti] M. Tibăr, On isolated cyclic quotients with simplest complex links, to appear in Abh. Math. Sem. Univ. Hamburg 65, 1995.
Mathematical Reviews (MathSciNet): MR1359129
[V] J.-L. Verdier, Stratifications de Whitney et théorème de Bertini-Sard, Invent. Math. 36 (1976), 295–312.
Mathematical Reviews (MathSciNet): MR58:1242
Zentralblatt MATH: 0333.32010
Digital Object Identifier: doi:10.1007/BF01390015
Duke Mathematical Journal