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Volumn 7, Issue 1, 2005, Pages 89-95

Classification of poisson surfaces

Author keywords

Poisson complex surfaces; Poisson structures; Ruled surfaces

Indexed keywords


EID: 14644402470     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199705001647     Document Type: Article
Times cited : (24)

References (13)
  • 1
    • 84960598134 scopus 로고
    • Vector bundles over an elliptic curve
    • M. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. 37 (1957) 414-452.
    • (1957) Proc. London Math. Soc. , vol.37 , pp. 414-452
    • Atiyah, M.1
  • 2
    • 0002425849 scopus 로고
    • Systèmes hamiltoniens complètement intégrables associés aux surfaces K3
    • Symposia Mathematica, Academic Press
    • A. Beauville, Systèmes hamiltoniens complètement intégrables associés aux surfaces K3, in Problems in the Theory of Surfaces and Their Classification (Cortona, 1988), Symposia Mathematica, Vol. 32 (Academic Press, 1991), pp. 25-31.
    • (1991) Problems in the Theory of Surfaces and Their Classification (Cortona, 1988) , vol.32 , pp. 25-31
    • Beauville, A.1
  • 3
    • 0000138072 scopus 로고
    • Poisson structures on moduli spaces of sheaves over Poisson surfaces
    • F. Bottacin, Poisson structures on moduli spaces of sheaves over Poisson surfaces, Invent. Math. 121 (1995) 421-436.
    • (1995) Invent. Math. , vol.121 , pp. 421-436
    • Bottacin, F.1
  • 4
    • 0032217885 scopus 로고    scopus 로고
    • Poisson structures on Hilbert schemes of points of a surface and integrable systems
    • F. Bottacin, Poisson structures on Hilbert schemes of points of a surface and integrable systems, Manuscripta Math. 97 (1998) 517-527.
    • (1998) Manuscripta Math. , vol.97 , pp. 517-527
    • Bottacin, F.1
  • 6
    • 0003897060 scopus 로고
    • Graduate Texts in Mathematics, Springer-Verlag, New York
    • R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Vol. 49 (Springer-Verlag, New York, 1977).
    • (1977) Algebraic Geometry , vol.49
    • Hartshorne, R.1
  • 7
    • 0002201351 scopus 로고    scopus 로고
    • Integrable systems and algebraic surfaces
    • Erratum, ibid. 84 (1996) 815
    • J. C. Hurtubise, Integrable systems and algebraic surfaces, Duke Math. J. 83 (1996) 19-50; Erratum, ibid. 84 (1996) 815.
    • (1996) Duke Math. J. , vol.83 , pp. 19-50
    • Hurtubise, J.C.1
  • 8
    • 84972540666 scopus 로고
    • Les variétés de Poisson et leurs algèbres de Lie associées
    • A. Lichnerowicz, Les variétés de Poisson et leurs algèbres de Lie associées, J. Differential Geom. 12 (1977) 253-300.
    • (1977) J. Differential Geom. , vol.12 , pp. 253-300
    • Lichnerowicz, A.1
  • 9
    • 84972488034 scopus 로고
    • On self-dual intersection number of a section on a ruled surface
    • M. Nagata, On self-dual intersection number of a section on a ruled surface, Nagoya Math. J. 37 (1970) 191-196.
    • (1970) Nagoya Math. J. , vol.37 , pp. 191-196
    • Nagata, M.1
  • 10
    • 0041002395 scopus 로고
    • Anti-Kodaira dimension of ruled surfaces
    • F. Sakai, Anti-Kodaira dimension of ruled surfaces, Sci. Rep. Saitama Univ. 2 (1982) 1-7.
    • (1982) Sci. Rep. Saitama Univ. , vol.2 , pp. 1-7
    • Sakai, F.1
  • 12
    • 0003246009 scopus 로고
    • Lectures on the Geometry of Poisson Manifolds
    • Birkhäuser, Basel
    • I. Vaisman, Lectures on the Geometry of Poisson Manifolds, Progress in Mathematics, Vol. 118 (Birkhäuser, Basel, 1994).
    • (1994) Progress in Mathematics , vol.118
    • Vaisman, I.1
  • 13
    • 0003301469 scopus 로고    scopus 로고
    • Integrable Systems in the Realm of Algebraic Geometry
    • Springer-Verlag, New York
    • P. Vanhaecke, Integrable Systems in the Realm of Algebraic Geometry, Lecture Notes in Mathematics, Vol. 1638 (Springer-Verlag, New York, 1996).
    • (1996) Lecture Notes in Mathematics , vol.1638
    • Vanhaecke, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.