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Abelian surfaces in products of projective spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1417)

Keywords

  • Line Bundle
  • Elliptic Curve
  • Abelian Surface
  • Adjunction Formula
  • Singular Fibre

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References

  1. Barth,W., Peters,C., Van de Ven,A.: Compact complex surfaces. Springer Verlag 1984.

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  2. Fulton, W.: Intersection theory. Springer Verlag 1984.

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  3. Hartshorne, R.: Algebraic Geometry, Springer Verlag 1977.

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  4. Horrocks, G., Mumford, D.: A rank 2 bundle on ℙ4 with 15,000 symmetries. Topology 12, 63–81 (1973).

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  5. Hulek, K., Lange, H.: Examples of abelian surfaces in ℙ4. J. Reine Angew. Math. 363, 201–216 (1985).

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  6. Lange, H.: Embeddings of Jacobian surfaces in ℙ4. J. Reine Angew. Math. 372, 71–86 (1986).

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  7. Ramanan, S.: Ample divisors on abelian surfaces. Proc. London Math. Soc. 51, 231–245 (1985)

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  8. Shafarevich, I.R.: Basic algebraic geometry. Springer Verlag 1977.

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© 1990 Springer-Verlag

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Hulek, K. (1990). Abelian surfaces in products of projective spaces. In: Sommese, A.J., Biancofiore, A., Livorni, E.L. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083338

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  • DOI: https://doi.org/10.1007/BFb0083338

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52217-1

  • Online ISBN: 978-3-540-46934-6

  • eBook Packages: Springer Book Archive