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Algebraic cycles on certain Calabi-Yau threefolds

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References

  • [A] Albano, A.: Infinite generation to the Griffiths group: a local proof. Thesis. University of Utah (1986)

  • [B] Bardelli, F.: Curves of genus three on the general abelian threefold and the non-finite generation of the Griffiths groups. In: Barth, W.-P., Lange, H. (eds.) Arithmetic of complex manifolds. (Lect. Notes Math., vol. 1399, pp. 10–26), Berlin Heidelberg New York: Springer 1989

    Chapter  Google Scholar 

  • [C1] Clemens, H.: Homological equivalence modulo algebraic equivalence is not finitely generated. Publ. Math., Inst. Hantes Étud. Sci.58, 231–258 (1983)

    MATH  Google Scholar 

  • [C2] Clemens, H.: Some results about the Abel-Jacobi mapping. In: Griffiths, P.A. (ed.) Topics in Transcendental Algebraic Geometry. (Ann. Math. Stud., vol. 106, pp. 289–304) Princeton, Princeton University Press 1984

    Google Scholar 

  • [CHM] Ciliberto, C., Harris, J., Miranda, R.: General components of the Noether-Lefschetz locus and their density in the space of all surfaces. Math. Ann.282, 667–680 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • [CM] Conte, A., Murre, J.: The Hodge conjecture for fourfolds admitting a covering by rational curves. Math. Ann.238, 79–88 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  • [FH] Fulton, W., Harris, J.: Representation Theory, Berlin Heidelberg New York: Springer 1991

    MATH  Google Scholar 

  • [G] Griffiths, P.A.: On the periods of certain rational integrals. I, II. Ann. Math., II. Ser.90, 496–541, 460–495 (1969)

    Google Scholar 

  • [Ki] Kim, S.O.: Noether-Lefschetz locus for surfaces. Trans. Am. Math. Soc.324, 369–384 (1991)

    Article  MATH  Google Scholar 

  • [Mo] Mori, S.: Cone of curves and Fano 3-folds. In: Ciesielski, Z., Olech, C. (eds.) Proc. ICM Warszawa 1982, pp. 747–752. Warszawa: Polish Scientific Publishers 1984

    Google Scholar 

  • [Mu] Müller-Stach, S.: On the non-triviality of the Griffiths group. J. Reine Angew. Math.427, 209–218 (1992)

    MATH  MathSciNet  Google Scholar 

  • [N] Nori, M.: Cycles on the generic abelian threefold. Proc. Indian Acad. Sci.99, 191–196 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  • [P] Paranjape, K.: Curves on threefolds with trivial canonical bundle. Proc. Indian Acad. Sci.101, 199–213 (1991)

    MATH  MathSciNet  Google Scholar 

  • [S] Schoen, C.: Complex multiplication cycles on elliptic modular threefolds. Duke Math. J.53, 771–794 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  • [Z] Zarkhin, Y.: Algebraic cycles on cubic fourfolds. Boll. Unione Mat. Ital.4, 833–847 (1990)

    MATH  MathSciNet  Google Scholar 

  • [V] Voisin, C.: Une approche infinitésimale du théorème de H. Clemens sur les cycles d'une quintique génèrale deP 4. J. Algebraic Geom.1, 157–174 (1992)

    MATH  MathSciNet  Google Scholar 

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Bardelli, F., Müller-Stach, S. Algebraic cycles on certain Calabi-Yau threefolds. Math Z 215, 569–582 (1994). https://doi.org/10.1007/BF02571731

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