On the rationality of complex homology 2-cells: I

R. V. GURJAR; A. R. SHASTRI

doi:10.2969/jmsj/04110037

R. V. GURJAR, A. R. SHASTRI

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1989 年 41 巻 1 号 p. 37-56

DOI https://doi.org/10.2969/jmsj/04110037

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Published: 1989 Received: 1987/01/06 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : [A] M. Artin, On isolated rational singularities of surfaces, Amer. J. Math., 88 (1966), 129-136.
[B-K-L] S. Bloch, A. Kas and D. Lieberman, Zero cycles on surfaces with p_g=0, Compositio Math., 33 (1976), 135-145.
[F] T. Fujita, On the topology of non-complete algebraic surfaces, J. Fac. Sci. Univ. Tokyo, 29 (1982), 503-566.
[G-M] R. V. Gurjar and M. Miyanishi, Affine surfaces with κ_??_1, Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata, Vol. 1, 1988.
[M] Y. Miyaoka, The maximal number of quotient singularities on surfaces with given numerical invariants, Math. Ann., 268 (1984), 159-171.
[M-S] M. P. Murthy and R. Swan, Vector bundles over affine surfaces, Invent. Math., 36 (1976), 125-165.
[N] M. Nori, Zariski conjecture and related problems, Ann. Sci. École Norm. Sup., 16 (1983), 305-344.
[R] C. P. Ramanujam, A topological characterization of the affine plane as an algebraic variety, Ann. Math., 94 (1971), 69-88.
[S] C. S. Seshadri, Triviality of vector bundles over the affine space K², Proc. Nat. Acad. Sci. USA, 44 (1958), 456-458.
[V] A. A. Van de Ven, Analytic compactifications of complex homology cells, Math. Ann., 147 (1962), 189-204.

Right : [A] M. Artin, On isolated rational singularities of surfaces, Amer. J. Math., 88 (1966), 129-136.
[F] T. Fujita, On the topology of non-complete algebraic surfaces, J. Fac. Sci. Univ. Tokyo, 29 (1982), 503-566.
[G-M] R. V. Gurjar and M. Miyanishi, Affine surfaces with κ≤1, Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata, Vol. 1, 1988.
[M] Y. Miyaoka, The maximal number of quotient singularities on surfaces with given numerical invariants, Math. Ann., 268 (1984), 159-171.
[M-S] M. P. Murthy and R. Swan, Vector bundles over affine surfaces, Invent. Math., 36 (1976), 125-165.
[N] M. Nori, Zariski conjecture and related problems, Ann. Sci. École Norm. Sup., 16 (1983), 305-344.
[R] C. P. Ramanujam, A topological characterization of the affine plane as an algebraic variety, Ann. Math., 94 (1971), 69-88.
[S] C. S. Seshadri, Triviality of vector bundles over the affine space K², Proc. Nat. Acad. Sci. USA, 44 (1958), 456-458.
[V] A. A. Van de Ven, Analytic compactifications of complex homology cells, Math. Ann., 147 (1962), 189-204.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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