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On threefolds whose hyperplane sections are enriques surfaces

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 947)

Keywords

  • Double Point
  • Hyperplane Section
  • Fano Variety
  • Conic Bundle
  • Enriques Surface

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References

  1. F. COSSEC, Projective models of Enriques surfaces and Reye congruences, thesis Yale University, 1981.

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  2. A. CONTE and J. P. MURRE, Three-dimensional algebraic varieties whose hyperplane sections are Enriques surfaces, Mittag-Leffler Institut, Report n. 10, 1981.

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  3. G. FANO, Sulle varietà algebriche a tre dimensioni le cui sezioni iperpiane sono superficie di genere zero e bigenere uno, Mem. Soc. it. Sci. (detta dei XL), 24 (1938), 41–66.

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  4. M. LETIZIA, Sistemi lineari completi su superficie di Enriques, Ann. Mat. Pura App., CXXVI (1980), 267–82.

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  5. M. REID, Hyperelliptic linear systems on K3-surfaces, J. London Math. Soc., 13 (1976), 425–31.

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  6. B. SAINT-DONAT, Projective embeddings of K3-surfaces, Am. J. Math., 96 (1975), 602–39.

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  7. L. PICCO BOTTA and A. VERRA, The non-rationality of the generic Enriques threefold, to appear in Comp. Math.

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  8. A. VERRA, Superficie di Enriques e reti di quadriche, to appear in Ann. Mat. Pura App.

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© 1982 Springer-Verlag

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Conte, A. (1982). On threefolds whose hyperplane sections are enriques surfaces. In: Conte, A. (eds) Algebraic Threefolds. Lecture Notes in Mathematics, vol 947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093591

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  • DOI: https://doi.org/10.1007/BFb0093591

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11587-8

  • Online ISBN: 978-3-540-39342-9

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