메뉴 건너뛰기




Volumn 14, Issue 1, 2003, Pages 105-117

On the divisor class group of 3-fold singularities

Author keywords

Canonical singularity; Divisor class group; Newton polyhedron

Indexed keywords


EID: 0037297059     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X03001685     Document Type: Article
Times cited : (6)

References (18)
  • 1
    • 0000770304 scopus 로고
    • Le nombre de lefschetz d'une monodromie
    • N. A'Campo, Le nombre de Lefschetz d'une monodromie, Indag. Math. 35 (1973), 113-118.
    • (1973) Indag. Math. , vol.35 , pp. 113-118
    • A'Campo, N.1
  • 3
    • 0001794152 scopus 로고
    • Zur berechnung der divisorenklassengruppen kompletter lokaler ringe
    • J. Bingener and U. Storch, Zur Berechnung der Divisorenklassengruppen kompletter lokaler Ringe, Nova Acta Leopoldina (N.F.) 52(240) (1981), 7-63.
    • (1981) Nova Acta Leopoldina (N.F.) , vol.52 , Issue.240 , pp. 7-63
    • Bingener, J.1    Storch, U.2
  • 5
    • 0001630649 scopus 로고
    • Divisorenklassengruppen quasihomogener singularitäten
    • H. Flenner, Divisorenklassengruppen quasihomogener Singularitäten, J. Reine Angew. Math. 328 (1981), 128-160.
    • (1981) J. Reine Angew. Math. , vol.328 , pp. 128-160
    • Flenner, H.1
  • 6
    • 0002982313 scopus 로고
    • Singular points of complex hypersurfaces
    • Princeton University Press, Princeton, NJ
    • J. Milnor, Singular Points of Complex Hypersurfaces, Annals of Mathematics Studies, 61, Princeton University Press, Princeton, NJ, 1968.
    • (1968) Annals of Mathematics Studies , vol.61
    • Milnor, J.1
  • 7
    • 0000460703 scopus 로고
    • Isolated singularities defined by weighted homogeneous polynomials
    • J. Milnor and P. Orlik, Isolated singularities defined by weighted homogeneous polynomials, Topology 9 (1970), 385-393.
    • (1970) Topology , vol.9 , pp. 385-393
    • Milnor, J.1    Orlik, P.2
  • 9
    • 0001385597 scopus 로고
    • Minimal models of canonical 3-folds
    • Algebraic Varieties and Analytic Varieties (Tokyo, 1981) North-Holland, Amsterdam
    • M. Reid, Minimal models of canonical 3-folds, in Algebraic Varieties and Analytic Varieties (Tokyo, 1981), Adv. Stud. Pure Math., 1, North-Holland, Amsterdam, 1983, pp. 131-180.
    • (1983) Adv. Stud. Pure Math. , pp. 131-180
    • Reid, M.1
  • 10
    • 0001469095 scopus 로고
    • Young person's guide to canonical singularities
    • Algebraic Geometry, Bowdoin, 1985
    • M. Reid, Young person's guide to canonical singularities, in Algebraic Geometry, Bowdoin, 1985, Proceedings of Symposia in Pure Mathematics, Part 1, 1987, pp. 345-414.
    • (1987) Proceedings of Symposia in Pure Mathematics, Part 1 , pp. 345-414
    • Reid, M.1
  • 11
    • 0000501791 scopus 로고
    • On the exponents and the geometric genus of an isolated hypersurface singularity
    • Singularities, Part 2 (Arcata, California, 1981)
    • M. Saito, On the exponents and the geometric genus of an isolated hypersurface singularity, in Singularities, Part 2 (Arcata, California, 1981), Proceedings of Symposia in Pure Mathematics, 40, 1983, pp. 465-472.
    • (1983) Proceedings of Symposia in Pure Mathematics , vol.40 , pp. 465-472
    • Saito, M.1
  • 12
    • 0000050211 scopus 로고
    • Exponents and Newton polyhedra of isolated hypersurface singularities
    • M. Saito, Exponents and Newton polyhedra of isolated hypersurface singularities, Math. Ann. 281(3) (1988), 411-417.
    • (1988) Math. Ann. , vol.281 , Issue.3 , pp. 411-417
    • Saito, M.1
  • 13
    • 0002127685 scopus 로고
    • Mixed Hodge structure on the vanishing cohomology
    • (Oslo, 1976), Sijthoff and Noordhoff, Alphen aan den Rijn
    • J. H. M. Steenbrink, Mixed Hodge structure on the vanishing cohomology, in Real and Complex Singularities (Oslo, 1976), Sijthoff and Noordhoff, Alphen aan den Rijn, 1977.
    • (1977) Real and Complex Singularities
    • Steenbrink, J.H.M.1
  • 14
    • 0001194461 scopus 로고
    • Intersection form for quasi-homogeneous singularities
    • J. Steenbrink, Intersection form for quasi-homogeneous singularities, Compositio Math. 34(2) (1977), 211-223.
    • (1977) Compositio Math. , vol.34 , Issue.2 , pp. 211-223
    • Steenbrink, J.1
  • 16
    • 0001057429 scopus 로고
    • Zeta-function of monodromy and Newton's diagram
    • A. N. Varchenko, Zeta-function of monodromy and Newton's diagram, Invent. Math. 37 (1976), 253-262.
    • (1976) Invent. Math. , vol.37 , pp. 253-262
    • Varchenko, A.N.1
  • 17
    • 0000231705 scopus 로고
    • Asymptotic Hodge structure on vanishing cohomology
    • A. N. Varchenko, Asymptotic Hodge structure on vanishing cohomology, Izv. Akad. Nauk SSSR Ser. Mat. 45 (1981), 540-591.
    • (1981) Izv. Akad. Nauk SSSR Ser. Mat. , vol.45 , pp. 540-591
    • Varchenko, A.N.1
  • 18
    • 0012420312 scopus 로고
    • Asymptotic behavior of integrals over vanishing cycles and the Newton polyhedron
    • A. N. Varchenko and A. G. Khovanskiǐ, Asymptotic behavior of integrals over vanishing cycles and the Newton polyhedron, Dokl. Akad. Nauk SSSR 283 (1985), 521-525.
    • (1985) Dokl. Akad. Nauk SSSR , vol.283 , pp. 521-525
    • Varchenko, A.N.1    Khovanskiǐ, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.