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Volumn 38, Issue 2, 1999, Pages 439-456

The topological zeta function associated to a function on a normal surface germ

Author keywords

Surface singularity invariant; Tropological zeta function

Indexed keywords


EID: 0033095486     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(98)00023-8     Document Type: Article
Times cited : (17)

References (22)
  • 1
  • 2
    • 0345815181 scopus 로고    scopus 로고
    • Log canonical surlace singularities: Arithmetical approach
    • Alexeev, V., Log canonical surlace singularities: Arithmetical approach. In Flips and Abundance for Algebraic Threefolds [11], 47-58.
    • Flips and Abundance for Algebraic Threefolds , vol.11 , pp. 47-58
    • Alexeev, V.1
  • 4
    • 0003184806 scopus 로고
    • Report on Igusa's local zeta function
    • Sém. Bourdaki
    • Denef, J., Report on Igusa's local zeta function, Sém. Bourdaki, Vol. 741: Astérisque, 1991, 201/202/203, 359-386.
    • (1991) Astérisque , vol.741 , Issue.201-203 , pp. 359-386
    • Denef, J.1
  • 5
    • 84968470136 scopus 로고
    • Caractéristiques d'Euler-Poincaré, fonctions zêta locales, et modifications analyti ques
    • Denef, J. and Loeser, F., Caractéristiques d'Euler-Poincaré, fonctions zêta locales, et modifications analytiques. Journal of the American Mathematical Society, 1992, 5, 4, 705-720.
    • (1992) Journal of the American Mathematical Society , vol.5 , Issue.4 , pp. 705-720
    • Denef, J.1    Loeser, F.2
  • 7
    • 0009174458 scopus 로고    scopus 로고
    • Germs of arcs on singular algebraic varieties and motivic integration
    • Denef, J. and Loeser, F., Germs of arcs on singular algebraic varieties and motivic integration. Inventiones Mathematicae, 1998.
    • (1998) Inventiones Mathematicae
    • Denef, J.1    Loeser, F.2
  • 8
    • 84942968799 scopus 로고
    • Complex powers and asymptotic expansions I
    • Igusa, J., Complex powers and asymptotic expansions I. J. Reine Angew. Math., 1974, 268/269, 110-130;
    • (1974) J. Reine Angew. Math. , vol.268-269 , pp. 110-130
    • Igusa, J.1
  • 9
    • 0001505868 scopus 로고
    • Complex powers and asymptotic expansions II
    • II, ibid. 1975, 278/279, 307-321.
    • (1975) J. Reine Angew. Math. , vol.278-279 , pp. 307-321
  • 10
    • 0001935835 scopus 로고
    • The crepant blowing-up of 3-dimensional canonical singularities and its application to the degeneration of surfaces
    • Kawamata, Y., The crepant blowing-up of 3-dimensional canonical singularities and its application to the degeneration of surfaces. Annals of Mathematics, 1988, 127, 93-163.
    • (1988) Annals of Mathematics , vol.127 , pp. 93-163
    • Kawamata, Y.1
  • 11
    • 0000526845 scopus 로고
    • Introduction to the minimal model program
    • ed. S. T. Oda, Adv. Stud. Pure Math., Kinokuniya
    • Kawamata, Y., Matsuda, K. and Matsuki, K., Introduction to the minimal model program. In Algebraic Geometry, ed. S. T. Oda, Adv. Stud. Pure Math., Vol. 10, Kinokuniya, 1987, pp. 283-360.
    • (1987) Algebraic Geometry , vol.10 , pp. 283-360
    • Kawamata, Y.1    Matsuda, K.2    Matsuki, K.3
  • 13
    • 85034198473 scopus 로고
    • Kollár, J. et al., Flips and Abundance for Algebraic Threefolds. Seminar, Salt Lake City, 1991; Astérisque, 1992, 211.
    • (1992) Astérisque , vol.211
  • 15
    • 0002895385 scopus 로고
    • Fonctions d'Igusa p-adiques et polynômes de Bernstein
    • Loeser, F., Fonctions d'Igusa p-adiques et polynômes de Bernstein, American Journal of Mathematics, 1988, 110, 1-22.
    • (1988) American Journal of Mathematics , vol.110 , pp. 1-22
    • Loeser, F.1
  • 17
    • 51249168911 scopus 로고
    • The topology of normal singularities of an algebraic surface and a criterion for simplicity
    • Mumford, D., The topology of normal singularities of an algebraic surface and a criterion for simplicity. Publ. Math. I.H.E.S., 1961, 9, 5-22.
    • (1961) Publ. Math. I.H.E.S. , vol.9 , pp. 5-22
    • Mumford, D.1
  • 18
    • 0009242251 scopus 로고
    • Holomorphy of local zeta functions for curves
    • Veys, W., Holomorphy of local zeta functions for curves. Mathematische Annalen, 1993, 295, 635-641.
    • (1993) Mathematische Annalen , vol.295 , pp. 635-641
    • Veys, W.1
  • 19
    • 0009241528 scopus 로고
    • On Euler characteristics associated to exceptional divisors
    • Veys, W., On Euler characteristics associated to exceptional divisors. Transactions of American Mathematical Society, 1995, 347, 9, 3287-3300.
    • (1995) Transactions of American Mathematical Society , vol.347 , Issue.9 , pp. 3287-3300
    • Veys, W.1
  • 20
    • 51249161971 scopus 로고
    • Determination of the poles of the topological zeta function for curves
    • Veys, W., Determination of the poles of the topological zeta function for curves. Manuscripta Mathematica, 1995, 87, 435-448.
    • (1995) Manuscripta Mathematica , vol.87 , pp. 435-448
    • Veys, W.1
  • 21
    • 0001652580 scopus 로고    scopus 로고
    • Zeta functions for curves and log canonical models
    • Veys, W., Zeta functions for curves and log canonical models. Proceedings of London Mathematical Society, 1997, 74, 2, 360-378.
    • (1997) Proceedings of London Mathematical Society , vol.74 , Issue.2 , pp. 360-378
    • Veys, W.1
  • 22
    • 0001793422 scopus 로고
    • Towards birational classification of algebraic varieties
    • Wilson, P., Towards birational classification of algebraic varieties. Bulletin of London Mathematical Society, 1987, 19, 1-48.
    • (1987) Bulletin of London Mathematical Society , vol.19 , pp. 1-48
    • Wilson, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.