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Picard numbers of surfaces in 3-dimensional weighted projective spaces

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References

  1. Carlson, J., Green, M., Griffiths, P., Harris, J.: Infinitesimal variation of Hodge structure, I. Comp. Math.50, 109–205 (1983)

    Google Scholar 

  2. Delorme, C.: Espaces projectifs anisotropes. Bull. Soc. Math. France103, 203–223 (1975)

    Google Scholar 

  3. Dolgachev, I.: Weighted projective varieties. In: Group Actions and Vector Fields, Proceedings, Vancouver 1981. (Lecture Notes in Math. vol. 956, pp. 34–71) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  4. Donagi, R., Tu, L.: Generic Torelli for weighted hypersurfaces. Math. Ann.276, 399–413 (1987)

    Google Scholar 

  5. Saito, M.-H.: Weak global Torelli for certain weighted projective hypersurfaces. Duke Math. J.53, 67–111 (1986)

    Google Scholar 

  6. Steenbrink, J.: Intersection form for quasi-homogeneous singularities. Comp. Math.34, 211–223 (1977)

    Google Scholar 

  7. Steenbrink, J.: On the Picard group of certain smooth surfaces in weighted projective spaces. In: Algebraic Geometry, Proceedings, La Rábida 1981. (Lecture Notes in Math. vol. 961, pp. 302–313) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  8. Tu, L.: Macaulay's theorem and local Torelli for weighted hypersurfaces. Comp. Math.60, 33–44 (1986)

    Google Scholar 

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  1. David A. Cox

    Present address: Department of Mathematics, Amherst College, 01002, Amherst, MA, USA

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  1. Department of Mathematics, Oklahoma State University, 74078, Stillwater, OK, USA

    David A. Cox

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  1. David A. Cox
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Cox, D.A. Picard numbers of surfaces in 3-dimensional weighted projective spaces. Math Z 201, 183–189 (1989). https://doi.org/10.1007/BF01160676

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