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Algebraic cohomology classes on some special threefolds

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1515)

Keywords

  • Cohomology Class
  • Finite Index
  • Hodge Structure
  • Hodge Number
  • Algebraic Cycle

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References

  1. F. Bardelli “On Grothendieck's generalized Hodge conjecture for a family of threefolds with trivial canonical bundle” to appear on Jour. fur Reine und Angew. Math. 422 (1991). A preliminary report is on the Proc. Intern. Conf. Alg. Geom. Berlin 1985, Teubner Texte zur Math. Band 92.

    Google Scholar 

  2. F. Bardelli “A footnote to a paper by A. Grothendieck” Rend. Sem. Mat. Fis. Milano LVII (1987) (Proc. Alg. Geom. Conf. Gargnano, 1987).

    Google Scholar 

  3. A. Conte, J.P. Murre “The Hodge conjecture for fourfolds admitting a covering by rational curves” Math. Ann. 238 (1978).

    Google Scholar 

  4. P.A. Griffiths “On the periods of certain rational integrals, I” Ann. of Math. 90 (1969).

    Google Scholar 

  5. A. Grothendieck “Hodge's general conjecture is false for trivial reasons” Topology 8 (1969).

    Google Scholar 

  6. J.P. Murre “On the Hodge conjecture for unirational fourfolds” Indag. Math. 80 (1977).

    Google Scholar 

  7. P. Pirola “ On a conjecture of Xiao” preprint.

    Google Scholar 

  8. Z. Ran “Cycles on Fermat hypersurfaces” Comp. Math. 42 (1980).

    Google Scholar 

  9. M. Reid “ A young person's guide to canonical singularities” in “Algebraic Geometry, Bowdoin 1985” Ed. S.Bloch; Proc. Symp. Pure Math. 46, I; Amer. Math. Soc.

    Google Scholar 

  10. C. Schoen “Hodge classes on self-products of a variety with an automorphism.” Comp. Math. 65 (1988).

    Google Scholar 

  11. C. Schoen “Cyclic covers of ℙυ branched along ν+2 hyperplanes and the generalized Hodge conjecture for certain abelian varieties” in “Arithmetic of complex manifolds” Proceedings, Erlangen 1988, Eds. W.P. Barth, H. Lange; Springer Lecture notes in Math. 1399.

    Google Scholar 

  12. t. Shioda “The Hodge conjecture for Fermat varieties.” Math. Ann. 245 (1979)

    Google Scholar 

  13. T. Shioda “Algebraic cycles on abelian varieties of Fermat type” Math. Ann. 258 (1981).

    Google Scholar 

  14. C.Voisin “Sur les zero-cycles de certain hypersurfaces munies d'un automorphisme” preprint.

    Google Scholar 

  15. Yu.G. Zarkhin “Weights of simple Lie algebras in the cohomology of algebraic varieties” Math. USSR Izv. 24 (1985).

    Google Scholar 

  16. S. Zucker “The Hodge conjecture for cubic fourfolds” Comp. Math. 34 (1977).

    Google Scholar 

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© 1992 Springer-Verlag

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Bardelli, F. (1992). Algebraic cohomology classes on some special threefolds. In: Ballico, E., Catanese, F., Ciliberto, C. (eds) Classification of Irregular Varieties. Lecture Notes in Mathematics, vol 1515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098334

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  • DOI: https://doi.org/10.1007/BFb0098334

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55295-6

  • Online ISBN: 978-3-540-47016-8

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