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Volumn 35, Issue 1, 1996, Pages 137-155

On the cohomology of Kähler and hyper-Kähler manifolds

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EID: 0029688254     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/0040-9383(95)00006-2     Document Type: Article
Times cited : (61)

References (33)
  • 1
    • 0001579635 scopus 로고
    • The index theory of elliptic operators: III
    • 1. M. F. ATIYAH and I. M. SINGER: The index theory of elliptic operators: III, Ann. Math. 87 (1968), 546-604.
    • (1968) Ann. Math. , vol.87 , pp. 546-604
    • Atiyah, M.F.1    Singer, I.M.2
  • 3
    • 84972540534 scopus 로고
    • Variétés Kähleriennes dont la première classe de Chern est nulle
    • 3. A. BEAUVILLE: Variétés Kähleriennes dont la première classe de Chern est nulle, J. Diff. Geometry 18 (1983), 755-782.
    • (1983) J. Diff. Geometry , vol.18 , pp. 755-782
    • Beauville, A.1
  • 5
    • 0001614238 scopus 로고
    • On the decomposition of kähler manifolds with trivial canonical class
    • 5. F. A. BOGOMOLOV: On the decomposition of Kähler manifolds with trivial canonical class, Math. USSR-Sb. 22 (1974), 580-583.
    • (1974) Math. USSR-Sb , vol.22 , pp. 580-583
    • Bogomolov, F.A.1
  • 7
    • 0000489038 scopus 로고
    • Instanton moduli as a novel map from tori to K3 surfaces
    • 7. P. J. BRAAM, A. MACIOCIA and A. TODOROV: Instanton moduli as a novel map from tori to K3 surfaces, Invent. Math. 108 (1992), 419-451.
    • (1992) Invent. Math. , vol.108 , pp. 419-451
    • Braam, P.J.1    Maciocia, A.2    Todorov, A.3
  • 9
    • 42449109300 scopus 로고
    • Isometric families of Kähler structures
    • W.-Y. Hsiang et al., Eds., Springer, Berlin
    • 9. E. CALABI: Isometric families of Kähler structures, in The Chern symposium, W.-Y. Hsiang et al., Eds., Springer, Berlin (1980).
    • (1980) The Chern Symposium
    • Calabi, E.1
  • 10
    • 0000302452 scopus 로고
    • On the homology of the Hilbert scheme of points in the plane
    • 10. G. ELLINGSRUD and S. A. STRØMME: On the homology of the Hilbert scheme of points in the plane, Invent. Math. 87 (1987), 343-352.
    • (1987) Invent. Math. , vol.87 , pp. 343-352
    • Ellingsrud, G.1    Strømme, S.A.2
  • 11
    • 0000975014 scopus 로고
    • Algebraic families on an algebraic surface
    • 11. J. FOGARTY: Algebraic families on an algebraic surface, Amer. J. Math. 10 (1968), 511-521.
    • (1968) Amer. J. Math. , vol.10 , pp. 511-521
    • Fogarty, J.1
  • 12
    • 0002461636 scopus 로고
    • On primitively symplectic Kähler V-manifolds of dimension four
    • Classification theory of algebraic and analytic manifolds, Birkhäuser
    • 12. A. FUJIKI: On primitively symplectic Kähler V-manifolds of dimension four, in Classification theory of algebraic and analytic manifolds, 1982 (Progress in Mathematics 39), Birkhäuser (1983).
    • (1982) Progress in Mathematics , vol.39
    • Fujiki, A.1
  • 13
    • 0000011032 scopus 로고
    • On the de Rham cohomology group of a compact Kähler symplectic manifold
    • Algebraic geometry, Sendai, T. Oda, Ed., North-Holland, Amsterdam
    • 13. A. FUJIKI: On the de Rham cohomology group of a compact Kähler symplectic manifold, in Algebraic geometry, Sendai, 1985 (Advanced Studies in Pure Mathematics 10), T. Oda, Ed., North-Holland, Amsterdam (1987).
    • (1985) Advanced Studies in Pure Mathematics , vol.10
    • Fujiki, A.1
  • 14
    • 0001341825 scopus 로고
    • The betti numbers of the Hilbert scheme of points on a smooth projective surface
    • 14. L. GÖTTSCHE: The Betti numbers of the Hilbert scheme of points on a smooth projective surface, Math. Ann. 286 (1990), 193-207.
    • (1990) Math. Ann. , vol.286 , pp. 193-207
    • Göttsche, L.1
  • 15
    • 0000372598 scopus 로고
    • Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
    • 15. L. GÖTTSCHE and W. SOERGEL: Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces, Math. Ann. 296 (1993), 235-245.
    • (1993) Math. Ann. , vol.296 , pp. 235-245
    • Göttsche, L.1    Soergel, W.2
  • 17
    • 0011472751 scopus 로고
    • The index of an oriented manifold and the Todd genus of an almost complex manifold
    • Band I, Springer, Berlin
    • 17. F. HIRZEBRUCH: The index of an oriented manifold and the Todd genus of an almost complex manifold, in Friedrich Hirzebruch, Collected Papers, Band I, Springer, Berlin (1987).
    • (1987) Friedrich Hirzebruch, Collected Papers
    • Hirzebruch, F.1
  • 18
    • 0003334079 scopus 로고
    • The Atiyah-Singer theorem and elementary number theory
    • Publish or Perish, Berkeley
    • 18. F. HIRZEBRUCH and D. ZAGIER: The Atiyah-Singer theorem and elementary number theory, Math. Lect. Series 3, Publish or Perish, Berkeley (1974).
    • (1974) Math. Lect. Series , vol.3
    • Hirzebruch, F.1    Zagier, D.2
  • 20
    • 85029960680 scopus 로고    scopus 로고
    • On moduli of vector bundles
    • Complex geometry and analysis, V. Villani, Ed., Springer, Berlin
    • 20. S. KOBAYASHl: On moduli of vector bundles, in Complex geometry and analysis, V. Villani, Ed., Lect. Notes. Math. 1422, Springer, Berlin (1990).
    • Lect. Notes. Math. , vol.1422 , pp. 1990
    • Kobayashl, S.1
  • 22
    • 0001053860 scopus 로고
    • Strong rigidity of positive quaternion-Kähler manifolds
    • 22. C. R. LEBRUN and S. M. SALAMON: Strong rigidity of positive quaternion-Kähler manifolds, Invent. Math. 118 (1994), 109-132.
    • (1994) Invent. Math. , vol.118 , pp. 109-132
    • Lebrun, C.R.1    Salamon, S.M.2
  • 23
    • 84971187053 scopus 로고
    • The Poincaré polynomial of a symmetric product
    • 23. I. G. MACDONALD: The Poincaré polynomial of a symmetric product, Proc. Camb. Phil. Soc. 58 (1962), 563-568.
    • (1962) Proc. Camb. Phil. Soc. , vol.58 , pp. 563-568
    • Macdonald, I.G.1
  • 24
    • 0000694645 scopus 로고
    • Symplectic structure of the moduli space of sheaves on an abelian or K3 surface
    • 24. S. MUKAI: Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent. Math. 77 (1984), 101-116.
    • (1984) Invent. Math. , vol.77 , pp. 101-116
    • Mukai, S.1
  • 25
    • 0002068848 scopus 로고
    • Generalized Prym varieties as fixed points
    • 25. M. S. NARASIMHAN and S. RAMANAN: Generalized Prym varieties as fixed points, J. Indian Math. Soc. 39 (1975), 1-19.
    • (1975) J. Indian Math. Soc. , vol.39 , pp. 1-19
    • Narasimhan, M.S.1    Ramanan, S.2
  • 26
    • 84972502556 scopus 로고
    • Donaldson's polynomials for K3 surfaces
    • 26. K. G. O'GRADY: Donaldson's polynomials for K3 surfaces, J. Diff. Geometry 35 (1992), 415-427.
    • (1992) J. Diff. Geometry , vol.35 , pp. 415-427
    • O'Grady, K.G.1
  • 27
    • 0000895626 scopus 로고
    • Riemannian geometry and holonomy groups
    • Longman Scientific, New York
    • 27. S. SALAMON: Riemannian geometry and holonomy groups. Pitman Research Notes in Math. 201, Longman Scientific, New York (1989).
    • (1989) Pitman Research Notes in Math. , vol.201
    • Salamon, S.1
  • 29
    • 0002005271 scopus 로고
    • Topological mirrors and quantum rings
    • S-T. Yau, Ed., International Press, London
    • 29. C. VAFA: Topological mirrors and quantum rings, in Essays on mirror manifolds, S-T. Yau, Ed., International Press, London (1992).
    • (1992) Essays on Mirror Manifolds
    • Vafa, C.1
  • 30
    • 0000907686 scopus 로고
    • Stabilité de la classe des variétés kählériennes par certaines morphismes propres
    • 30. J. VAROUCHAS: Stabilité de la classe des variétés kählériennes par certaines morphismes propres, Invent. Math. 77 (1984), 117-127.
    • (1984) Invent. Math. , vol.77 , pp. 117-127
    • Varouchas, J.1
  • 31
    • 85029970471 scopus 로고
    • Action of the Lie algebra of SO(5) on the cohomology of hyper-Kähler manifolds
    • 31. M. S. VERBITSKII: Action of the Lie algebra of SO(5) on the cohomology of hyper-Kähler manifolds, Functional Anal. Appl. 24 (1991), 229-230.
    • (1991) Functional Anal. Appl. , vol.24 , pp. 229-230
    • Verbitskii, M.S.1
  • 32
    • 84972550848 scopus 로고
    • On Riemannian manifolds with homogeneous holonomy group Sp(n)
    • 32. H. WAKAKUWA: On Riemannian manifolds with homogeneous holonomy group Sp(n), Tôhoku Math. J. 10 (1958), 274-303.
    • (1958) Tôhoku Math. J. , vol.10 , pp. 274-303
    • Wakakuwa, H.1
  • 33
    • 84980156699 scopus 로고
    • On the Ricci-curvature of a complex Kähler manifold and the complex Monge-Ampère equations, Comment
    • 33. S. T. YAU: On the Ricci-curvature of a complex Kähler manifold and the complex Monge-Ampère equations, Comment. Pure Appl. Math. 31 (1978), 339-411.
    • (1978) Pure Appl. Math. , vol.31 , pp. 339-411
    • Yau, S.T.1


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