메뉴 건너뛰기




Volumn 36, Issue 6, 2000, Pages 659-679

Singularities at Infinity and their Vanishing Cycles, II. Monodromy

Author keywords

relative monodromy; singularities at infinity; topology of polynomial functions

Indexed keywords


EID: 0347774252     PISSN: 00345318     EISSN: None     Source Type: Journal    
DOI: 10.2977/prims/1195139641     Document Type: Article
Times cited : (7)

References (26)
  • 1
    • 49549172606 scopus 로고
    • Le nombre de Lefschetz d'une monodromie
    • A'Campo, N., Le nombre de Lefschetz d'une monodromie, Nederl. Akad. Wet. Proc, Ser. A, 76 (1973), 113–118.
    • (1973) Nederl. Akad. Wet. Proc, Ser. A , vol.76 , pp. 113-118
    • A'Campo, N.1
  • 3
    • 0001138728 scopus 로고
    • On the topology of polynomial hypersurfaces
    • Broughton, S. A., On the topology of polynomial hypersurfaces, Proc. Symp. Pure. Math., 40, I (1983), 165–178.
    • (1983) Proc. Symp. Pure. Math. , vol.40 , Issue.I , pp. 165-178
    • Broughton, S.A.1
  • 6
    • 0000833555 scopus 로고    scopus 로고
    • On the monodromy at infinity of a polynomial map
    • Garcia Lopez, R. and Nemethi, A., On the monodromy at infinity of a polynomial map, Compositio Math., 100, 2 (1996), 205–231.
    • (1996) Compositio Math. , vol.100 , Issue.2 , pp. 205-231
    • Garcia Lopez, R.1    Nemethi, A.2
  • 7
    • 0005896188 scopus 로고
    • La formule de Picard-Lefschetz affine
    • Ser. I
    • Hà, H. V., La formule de Picard-Lefschetz affine, C. R. Acad. Sci. Paris, Ser. I, 321, 6 (1995), 747–750.
    • (1995) C. R. Acad. Sci. Paris , vol.321 , Issue.6 , pp. 747-750
    • Hà, H.V.1
  • 8
    • 0002043093 scopus 로고
    • Sur la topologie des polynomes complexes
    • Hà, H. V. and Lê D. T., Sur la topologie des polynomes complexes, Acta Math. Vietnam., 9 (1984), 21–32.
    • (1984) Acta Math. Vietnam. , vol.9 , pp. 21-32
    • Hà, H.V.1    Lê, D.T.2
  • 9
    • 0001323290 scopus 로고
    • Sur la condition de Thorn stricte pour un morphisme analytique complexe
    • Henry, J. P., Merle, M. and Sabbah, C., Sur la condition de Thorn stricte pour un morphisme analytique complexe, Ann. Sci. Ec. Norm. Sup. 4e seme, 17 (1984), 227–268.
    • (1984) Ann. Sci. Ec. Norm. Sup. 4e seme , vol.17 , pp. 227-268
    • Henry, J.P.1    Merle, M.2    Sabbah, C.3
  • 10
    • 0001293910 scopus 로고
    • La monodromie n'a pas de points fixes
    • Sec. 1A
    • Lê, D. T., La monodromie n'a pas de points fixes, J. Fac. Sc. Univ. Tokyo, Sec. 1A, 22 (1975), 409–427.
    • (1975) J. Fac. Sc. Univ. Tokyo , vol.22 , pp. 409-427
    • Lê, D.T.1
  • 12
    • 0002914427 scopus 로고
    • Complex Analytic Functions with Isolated Singularities
    • Lê, D. T., Complex Analytic Functions with Isolated Singularities, J. Algebraic Geom., 1 (1992), 83–100.
    • (1992) J. Algebraic Geom. , vol.1 , pp. 83-100
    • Lê, D.T.1
  • 13
    • 84972518105 scopus 로고
    • A geometrical approach to the Jacobian conjecture for n = 2
    • Lê, D. T. and Weber, C., A geometrical approach to the Jacobian conjecture for n = 2, Kodai Math. J., 17, 3 (1994), 374–381.
    • (1994) Kodai Math. J. , vol.17 , Issue.3 , pp. 374-381
    • Lê, D.T.1    Weber, C.2
  • 14
    • 0003021946 scopus 로고
    • On the zeta function of monodromy of a polynomial map
    • Libgober, A. and Sperber, S., On the zeta function of monodromy of a polynomial map, Compositio. Math., 95, 3 (1995), 287–307.
    • (1995) Compositio. Math. , vol.95 , Issue.3 , pp. 287-307
    • Libgober, A.1    Sperber, S.2
  • 16
    • 25644458714 scopus 로고    scopus 로고
    • Monodromy at Infinity and Fourier Transform
    • Sabbah, C., Monodromy at Infinity and Fourier Transform, Publ. RIMS, Kyoto Univ., 33 (1997), 643–685.
    • (1997) Publ. RIMS, Kyoto Univ. , vol.33 , pp. 643-685
    • Sabbah, C.1
  • 17
    • 0038102031 scopus 로고    scopus 로고
    • Classification of singularities at infinity of polynomials of degree 4 in two variables, Preprint no. 945 (1996), University of Utrecht
    • Siersma, D. and Smeltink, J., Classification of singularities at infinity of polynomials of degree 4 in two variables, Preprint no. 945 (1996), University of Utrecht, Georgian Math. J., 7, 1 (2000), 179–190.
    • (2000) Georgian Math. J. , vol.7 , Issue.1 , pp. 179-190
    • Siersma, D.1    Smeltink, J.2
  • 18
    • 84974002394 scopus 로고
    • Singularities at infinity and their vanishing cycles
    • Siersma, D. and Tibăr, M., Singularities at infinity and their vanishing cycles, Duke Math. J., 80:3 (1995), 771–783.
    • (1995) Duke Math. J. , vol.80 , Issue.3 , pp. 771-783
    • Siersma, D.1    Tibăr, M.2
  • 19
    • 0001809098 scopus 로고    scopus 로고
    • Varietés polaires 2: Multiplicités polaires, sections planes et conditions de Whitney
    • Springer L.N.M.
    • Teissier, B., Varietés polaires 2: Multiplicités polaires, sections planes et conditions de Whitney, Géométrie Algebrique a la Rabida, Springer L.N.M., 961, 314–491.
    • Géométrie Algebrique a la Rabida , vol.961 , pp. 314-491
    • Teissier, B.1
  • 20
    • 84968481732 scopus 로고
    • Ensembles et morphismes stratifiés
    • Thorn, R., Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc., 75 (1969), 249–312.
    • (1969) Bull. Amer. Math. Soc. , vol.75 , pp. 249-312
    • Thorn, R.1
  • 21
    • 0001144927 scopus 로고
    • Carrousel monodromy and Lefschetz number of singularities
    • Tibăr, M., Carrousel monodromy and Lefschetz number of singularities, Enseign. Math., 39 (1993), 233–247.
    • (1993) Enseign. Math. , vol.39 , pp. 233-247
    • Tibăr, M.1
  • 22
    • 0031138621 scopus 로고    scopus 로고
    • On the monodromy fibration of polynomial functions with singularities at infinity
    • Pans, Ser. I
    • Tibăr, M., On the monodromy fibration of polynomial functions with singularities at infinity, C. R. Acad. Sci., Pans, Ser. I, 324, 9 (1997), 1031–1035.
    • (1997) C. R. Acad. Sci. , vol.324 , Issue.9 , pp. 1031-1035
    • Tibăr, M.1
  • 23
    • 0001914041 scopus 로고    scopus 로고
    • Topology at infinity of polynomial maps and Thorn regularity condition
    • Tibăr, M., Topology at infinity of polynomial maps and Thorn regularity condition, Compositio Math., III 1 (1998), 89–109.
    • (1998) Compositio Math. , vol.III , Issue.1 , pp. 89-109
    • Tibăr, M.1
  • 24
    • 0010046847 scopus 로고    scopus 로고
    • Asymptotic Equisingularity and Topology of Complex Hypersurfaces
    • Tibăr, M., Asymptotic Equisingularity and Topology of Complex Hypersurfaces, Int. Math. Res. Not, 18 (1998), 979–990.
    • (1998) Int. Math. Res. Not , vol.18 , pp. 979-990
    • Tibăr, M.1
  • 25
    • 0013480475 scopus 로고
    • Theorems on topological equisingularity of families of algebraic varieties and families of polynomial maps
    • Varchenko, A. N., Theorems on topological equisingularity of families of algebraic varieties and families of polynomial maps, Izv. Akad. Nauk, 36 (1972), 957–1019.
    • (1972) Izv. Akad. Nauk , vol.36 , pp. 957-1019
    • Varchenko, A.N.1
  • 26
    • 0040358459 scopus 로고
    • Stratifications de Whitney et theoreme de Bertini-Sard
    • Verdier, J. L., Stratifications de Whitney et theoreme de Bertini-Sard, Invent. Math., 36 (1976), 295–312.
    • (1976) Invent. Math. , vol.36 , pp. 295-312
    • Verdier, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.