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Volumn 504, Issue , 1998, Pages 159-176

Indices of vector fields and topological invariants of real analytic singularities

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EID: 0032221903     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (36)
  • 2
    • 0002579021 scopus 로고    scopus 로고
    • The index of a holomorphic vector field on a singular variety I
    • Ch. Bonatti and X. Gomez-Mont, The index of a holomorphic vector field on a singular variety I, Astérisque 222, 9-35.
    • Astérisque , vol.222 , pp. 9-35
    • Bonatti, Ch.1    Gomez-Mont, X.2
  • 4
    • 0001870232 scopus 로고    scopus 로고
    • Sur les classes de Chern d'un ensemble analytique complexe
    • J. P. Brasselet et M. H. Schwartz, Sur les classes de Chern d'un ensemble analytique complexe, Astérisque 82-83, 93-147.
    • Astérisque , vol.82-83 , pp. 93-147
    • Brasselet, J.P.1    Schwartz, M.H.2
  • 5
    • 0031521250 scopus 로고    scopus 로고
    • Feuilletages holomorphes sur les surfaces complexes compactes
    • M. Brunella, Feuilletages holomorphes sur les surfaces complexes compactes, Ann. Si. E. N. S. 30 (1997), 569-594.
    • (1997) Ann. Si. E. N. S. , vol.30 , pp. 569-594
    • Brunella, M.1
  • 6
    • 0013552629 scopus 로고    scopus 로고
    • Some remarks on indices of holomorphic vector fields
    • M. Brunella, Some remarks on indices of holomorphic vector fields, Publ. Math. 41, No. 2 (1997), 527-544.
    • (1997) Publ. Math. , vol.41 , Issue.2 , pp. 527-544
    • Brunella, M.1
  • 7
    • 18044394210 scopus 로고
    • On topological invariance of the Milnor number mod 2
    • P. Dudzinski et al., On topological invariance of the Milnor number mod 2, Topology 32 (1993), 573-576.
    • (1993) Topology , vol.32 , pp. 573-576
    • Dudzinski, P.1
  • 8
    • 0039325218 scopus 로고    scopus 로고
    • The signature of the relative Jacobian determinant and the index of a vector field tangent to a hypersurface
    • X. Gomez-Mont and P. Mardesic, The signature of the relative Jacobian determinant and the index of a vector field tangent to a hypersurface, Anm. Inst. Fourier 47 (1997), 1523-1539.
    • (1997) Anm. Inst. Fourier , vol.47 , pp. 1523-1539
    • Gomez-Mont, X.1    Mardesic, P.2
  • 10
    • 0001160074 scopus 로고
    • Lokale topologische eigenschaften komplexer räume
    • H. Hamm, Lokale topologische Eigenschaften komplexer Räume, Math. Ann. 191 (1971), 235-252.
    • (1971) Math. Ann. , vol.191 , pp. 235-252
    • Hamm, H.1
  • 11
    • 0000628299 scopus 로고
    • Smooth regular neighbourhoods
    • M. Hirsch, Smooth regular neighbourhoods, Ann. Math. 76 (1962), 524-530.
    • (1962) Ann. Math. , vol.76 , pp. 524-530
    • Hirsch, M.1
  • 12
    • 0000085344 scopus 로고
    • Über die curvatura integra geschlossener hyperflächen
    • H. Hopf, Über die curvatura integra geschlossener Hyperflächen, Math. Ann. 95 (1925), 340-367.
    • (1925) Math. Ann. , vol.95 , pp. 340-367
    • Hopf, H.1
  • 13
    • 0013477043 scopus 로고
    • Courbure intégrale généralisée et homotopie
    • M. Kervaire, Courbure intégrale généralisée et homotopie, Math. Ann. 131 (1956), 219-252.
    • (1956) Math. Ann. , vol.131 , pp. 219-252
    • Kervaire, M.1
  • 14
    • 0000143977 scopus 로고    scopus 로고
    • First variation of holomorphic forms and some applications
    • B. Khanedani, T. Suwa, First variation of holomorphic forms and some applications, Hokkaido Math. J. 26 (1997), 323-335.
    • (1997) Hokkaido Math. J. , vol.26 , pp. 323-335
    • Khanedani, B.1    Suwa, T.2
  • 16
    • 0003978414 scopus 로고
    • Addison-Wesley
    • S. Lang, Algebra, Addison-Wesley, 1965.
    • (1965) Algebra
    • Lang, S.1
  • 18
    • 0000888857 scopus 로고
    • On the index of a holomorphic vector field tangent to a singular variety
    • D. Lehmann, M. Soares and T. Suwa, On the index of a holomorphic vector field tangent to a singular variety, Bol. Soc. Bras. Mat. 26 (1995), 183-199.
    • (1995) Bol. Soc. Bras. Mat. , vol.26 , pp. 183-199
    • Lehmann, D.1    Soares, M.2    Suwa, T.3
  • 19
    • 0000418851 scopus 로고
    • Triangulations of semi-analytic sets
    • S. Łojasiewicz, Triangulations of semi-analytic sets, Ann. Sc. Norm. Sup. Pisa 18 (1964), 449-474.
    • (1964) Ann. Sc. Norm. Sup. Pisa , vol.18 , pp. 449-474
    • Łojasiewicz, S.1
  • 20
    • 0001796607 scopus 로고
    • Semi-characteristics and cobordism
    • G. Lustig, J. Milnor and F. P. Peterson, Semi-characteristics and cobordism, Topology 8 (1969), 357-359.
    • (1969) Topology , vol.8 , pp. 357-359
    • Lustig, G.1    Milnor, J.2    Peterson, F.P.3
  • 22
    • 0002982313 scopus 로고
    • Singular points of complex hypersurfaces
    • Princeton Univ. Press
    • J. Milnor, Singular points of complex hypersurfaces, Ann. Math. Stud. 61, Princeton Univ. Press, 1968.
    • (1968) Ann. Math. Stud. , vol.61
    • Milnor, J.1
  • 23
    • 0000269757 scopus 로고
    • On the 3-dimensional Brieskorn manifolds M(p,q,r)
    • Knots, links and 3-manifolds, ed. L. Neuwirth, Princeton Univ. Press
    • J. Milnor, On the 3-dimensional Brieskorn manifolds M(p,q,r), in: Knots, links and 3-manifolds, ed. L. Neuwirth, Ann. Math. Stud. 84, Princeton Univ. Press, 1975.
    • (1975) Ann. Math. Stud. , vol.84
    • Milnor, J.1
  • 24
    • 0001569785 scopus 로고
    • Singular points of vector fields under general boundary conditions
    • M. Morse, Singular points of vector fields under general boundary conditions, Amer. J. Math. 51 (1929), 165-178.
    • (1929) Amer. J. Math. , vol.51 , pp. 165-178
    • Morse, M.1
  • 25
    • 0000511903 scopus 로고
    • A formula for the Euler characteristic of singular hypersurfaces
    • A. Parusinski and P. Pragacz, A formula for the Euler characteristic of singular hypersurfaces, J. Alg. Geom. 4 (1995), 337-351.
    • (1995) J. Alg. Geom. , vol.4 , pp. 337-351
    • Parusinski, A.1    Pragacz, P.2
  • 26
    • 0001750614 scopus 로고
    • Generalized Poincaré index formulas
    • Ch. Pugh, Generalized Poincaré index formulas, Topology 7 (1968), 217-226.
    • (1968) Topology , vol.7 , pp. 217-226
    • Pugh, Ch.1
  • 27
    • 0003696585 scopus 로고
    • Champs radiaux sur une stratification analytique
    • M. H. Schwartz, Champs radiaux sur une stratification analytique, Travaux en Cours 39, Hermann, 1991.
    • (1991) Travaux en Cours , vol.39
    • Schwartz, M.H.1
  • 28
    • 0013550416 scopus 로고
    • A cobordism invariant for surface singularities
    • J. Seade, A cobordism invariant for surface singularities, Proc. Symp. Pure Math. 40 part 2 (1983), 479-484.
    • (1983) Proc. Symp. Pure Math. , vol.40 , Issue.PART 2 , pp. 479-484
    • Seade, J.1
  • 29
    • 0000234694 scopus 로고
    • The index of a vector field on a complex surface with singularities
    • J. Seade, The index of a vector field on a complex surface with singularities, Contemp. Math. 58 part III (1987), 225-232.
    • (1987) Contemp. Math. , vol.58 , Issue.PART III , pp. 225-232
    • Seade, J.1
  • 30
    • 0030544617 scopus 로고    scopus 로고
    • A residue formula for the index of a holomorphic flow
    • J. Seade and T. Suwa, A residue formula for the index of a holomorphic flow, Math. Ann. 304 (1996), 621-634.
    • (1996) Math. Ann. , vol.304 , pp. 621-634
    • Seade, J.1    Suwa, T.2
  • 31
    • 0013480206 scopus 로고    scopus 로고
    • An adjunction formula for local complete intersections
    • to appear
    • J. Seade and T. Suwa, An adjunction formula for local complete intersections, Intern. J. Math., to appear.
    • Intern. J. Math.
    • Seade, J.1    Suwa, T.2
  • 32
    • 21844526682 scopus 로고
    • Champs totalment radiaux sur une structure de Thom-Mather
    • S. Simon, Champs totalment radiaux sur une structure de Thom-Mather, Ann. Inst. Fourier (1995), 1423-1447.
    • (1995) Ann. Inst. Fourier , pp. 1423-1447
    • Simon, S.1
  • 35
    • 51249193717 scopus 로고
    • Quelques propriétés globales des variétés différentiables
    • R. Thorn, Quelques propriétés globales des variétés différentiables, Comm. Math. Helv. 28 (1954), 17-86.
    • (1954) Comm. Math. Helv. , vol.28 , pp. 17-86
    • Thorn, R.1
  • 36
    • 0002981821 scopus 로고
    • Topological invariance of the Milnor number mod 2
    • C. T. C. Wall, Topological invariance of the Milnor number mod 2, Topology 22 (1983), 345-350.
    • (1983) Topology , vol.22 , pp. 345-350
    • Wall, C.T.C.1


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