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On the topology of three-folds whose hyperplane sections have geometric genus zero

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Si dimostra che ogni ciclo tridimensionale situato su di unaV 3 algebrica a sezioni iperpiane di genere zero è omologo ad un ciclo di una sezione iperpiana.

References

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    -S. Lefschetz:L'Analysis Situs et la Géométrie Algébrique (Paris, 1924).

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    -W. V. D. Hodge: Proc. Cambridge Phil. Soc. 31 (1934), 18.

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    -W. V. D. Hodge:The Theory and Applications of Harmonic Integrals (Cambridge, 1941).

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    -W. V. D. Hodge: Journal London Math. Soc. 8 (1933), 312.

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    -J. A. Todd: Proc. Edinburgh Math. Soc. (2) 4, 175.

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Hodge, W.V.D. On the topology of three-folds whose hyperplane sections have geometric genus zero. Annali di Matematica 29, 115–119 (1949). https://doi.org/10.1007/BF02413918

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Keywords

  • Genus Zero
  • Hyperplane Section
  • Geometric Genus
  • Geometric Genus Zero