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Volumn 4, Issue 1, 1997, Pages 157-171

On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds

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EID: 0031286866     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1997.v4.n1.a14     Document Type: Article
Times cited : (88)

References (22)
  • 1
  • 2
    • 84972560611 scopus 로고
    • Degeneration of Kähler manifolds
    • [C] C. H. Clemens, Degeneration of Kähler manifolds, Duke Math J. 44 (1977), 215-290.
    • (1977) Duke Math J. , vol.44 , pp. 215-290
    • Clemens, C.H.1
  • 3
    • 0001552613 scopus 로고
    • Simultaneous resolution of threefold double points
    • [F1] R. Friedman, Simultaneous resolution of threefold double points, Math. Ann. 274 (1986), 671-689.
    • (1986) Math. Ann. , vol.274 , pp. 671-689
    • Friedman, R.1
  • 4
    • 0002991121 scopus 로고
    • On threefolds with trivial canonical bundle
    • [F2] -, On threefolds with trivial canonical bundle, Proc. Symp. Pure Math. 53 (1991).
    • (1991) Proc. Symp. Pure Math. , vol.53
  • 5
    • 0010957559 scopus 로고
    • Topics in transcendental algebraic geometry
    • [G] P. Griffiths ed, Topics in transcendental algebraic geometry, Ann. of Math. Study 106 (1984).
    • (1984) Ann. of Math. Study , vol.106
    • Griffiths, P.1
  • 10
    • 85033093767 scopus 로고
    • Flips and abundance of algebraic 3-folds
    • [K2] -, Flips and abundance of algebraic 3-folds, Astérisque 211 (1992).
    • (1992) Astérisque , vol.211
  • 11
    • 0001295179 scopus 로고
    • Flips, flops, minimal models etc.
    • (Cambridge, MA, 1990), Lehigh Univ., Bethlehem, PA
    • [K3] -, Flips, flops, minimal models etc., Surveys in differential geometry (Cambridge, MA, 1990), Lehigh Univ., Bethlehem, PA, 1991, pp. 113-199.
    • (1991) Surveys in Differential Geometry , pp. 113-199
  • 12
    • 0346287282 scopus 로고
    • Degenerations of K3 surfaces and Enriques surfaces
    • [Ku] V. Kulikov, Degenerations of K3 surfaces and Enriques surfaces, Math USSR-Izv. 11 (1977), 957-989.
    • (1977) Math USSR-Izv. , vol.11 , pp. 957-989
    • Kulikov, V.1
  • 13
    • 0001469095 scopus 로고
    • Young person's guide to canonical singularities
    • [R] M. Reid, Young person's guide to canonical singularities, Algebraic Geom., Bowdoin (1985), 345-414; Proc. Symp. Pure Math. 46 (1987).
    • (1985) Algebraic Geom., Bowdoin , pp. 345-414
    • Reid, M.1
  • 14
    • 0010956043 scopus 로고
    • [R] M. Reid, Young person's guide to canonical singularities, Algebraic Geom., Bowdoin (1985), 345-414; Proc. Symp. Pure Math. 46 (1987).
    • (1987) Proc. Symp. Pure Math. , vol.46
  • 15
    • 0001062515 scopus 로고
    • Variation of Hodge structure: The singularities of the period mapping
    • [S] W. Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent. Math. 22 (1973), 211-319.
    • (1973) Invent. Math. , vol.22 , pp. 211-319
    • Schmid, W.1
  • 16
    • 0011045005 scopus 로고
    • On the geometry of moduli spaces
    • [Sc] G. Schumacher, On the geometry of moduli spaces, Manuscripta Math. 50 (1985), 229-267.
    • (1985) Manuscripta Math. , vol.50 , pp. 229-267
    • Schumacher, G.1
  • 17
    • 0000585556 scopus 로고
    • Smoothness of the universal deformation space of compact calabi-Yau manifolds and its petersson-Weil metric, mathematical aspects of string theory
    • (San Diego, Calif., 1986) World Sci. Publishing, Singapore
    • [T1] G. Tian, Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Petersson-Weil metric, Mathematical aspects of string theory (San Diego, Calif., 1986) Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987, pp. 629-646.
    • (1987) Adv. Ser. Math. Phys. , vol.1 , pp. 629-646
    • Tian, G.1
  • 19
    • 0001261571 scopus 로고
    • The Weil-Petersson geometry of the moduli space of SU(n) (Calabi-Yau) manifolds I
    • [To] A. Todorov, The Weil-Petersson geometry of the moduli space of SU(n) (Calabi-Yau) manifolds I, Comm. Math. Phys. 126 (1989), 325-346.
    • (1989) Comm. Math. Phys. , vol.126 , pp. 325-346
    • Todorov, A.1
  • 20
    • 33646989217 scopus 로고
    • The Kähler cone on Calabi-Yau threefolds
    • Erratum: Invent. Math. 114 (1993), 231-233
    • [W] P. M. H. Wilson, The Kähler cone on Calabi-Yau threefolds, Invent. Math. 107 (1992), 561-583; Erratum: Invent. Math. 114 (1993), 231-233.
    • (1992) Invent. Math. , vol.107 , pp. 561-583
    • Wilson, P.M.H.1
  • 21
    • 84972568158 scopus 로고
    • Noncompleteness of the Weil-Petersson metric for Teichmüller space
    • [Wo] S. Wolpert, Noncompleteness of the Weil-Petersson metric for Teichmüller space, Pac. J. Math. 61 (1975), 573-577.
    • (1975) Pac. J. Math. , vol.61 , pp. 573-577
    • Wolpert, S.1
  • 22
    • 84980156699 scopus 로고
    • On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation I
    • [Y] S. T. Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation I, Comm. Pure Appl. Math. 31 (1978), 339-441.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 339-441
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.