Algebraic cycles on certain Calabi-Yau threefolds
Article
Received:
Accepted:
- 51 Downloads
- 2 Citations
Keywords
Complete Intersection Cohomology Class General Component Hilbert Scheme Countable Family
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- [A] Albano, A.: Infinite generation to the Griffiths group: a local proof. Thesis. University of Utah (1986)Google Scholar
- [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 1989CrossRefGoogle Scholar
- [C1] Clemens, H.: Homological equivalence modulo algebraic equivalence is not finitely generated. Publ. Math., Inst. Hantes Étud. Sci.58, 231–258 (1983)MATHGoogle 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 1984Google 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)MATHCrossRefMathSciNetGoogle Scholar
- [CM] Conte, A., Murre, J.: The Hodge conjecture for fourfolds admitting a covering by rational curves. Math. Ann.238, 79–88 (1978)MATHCrossRefMathSciNetGoogle Scholar
- [FH] Fulton, W., Harris, J.: Representation Theory, Berlin Heidelberg New York: Springer 1991MATHGoogle 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)MATHCrossRefGoogle 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 1984Google Scholar
- [Mu] Müller-Stach, S.: On the non-triviality of the Griffiths group. J. Reine Angew. Math.427, 209–218 (1992)MATHMathSciNetGoogle Scholar
- [N] Nori, M.: Cycles on the generic abelian threefold. Proc. Indian Acad. Sci.99, 191–196 (1989)MATHMathSciNetCrossRefGoogle Scholar
- [P] Paranjape, K.: Curves on threefolds with trivial canonical bundle. Proc. Indian Acad. Sci.101, 199–213 (1991)MATHMathSciNetGoogle Scholar
- [S] Schoen, C.: Complex multiplication cycles on elliptic modular threefolds. Duke Math. J.53, 771–794 (1986)MATHCrossRefMathSciNetGoogle Scholar
- [Z] Zarkhin, Y.: Algebraic cycles on cubic fourfolds. Boll. Unione Mat. Ital.4, 833–847 (1990)MATHMathSciNetGoogle 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)MATHMathSciNetGoogle Scholar
Copyright information
© Springer-Verlag 1994