Abstract
We prove some general density statements about the subgroup of invertible points on intermediate jacobians; namely those points in the Abel–Jacobi image of nullhomologous algebraic cycles on projective algebraic manifolds.
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Notes
- 1.
There is also a horizontality condition attached to the definition of normal functions of families of projective algebraic manifolds, which automatically holds in the Lefschetz pencil situation (see [8, Theorem 4.57]).
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Acknowledgements
Both authors partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada.
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Chen, X., Lewis, J.D. (2013). Dynamics of Special Points on Intermediate Jacobians. In: Laza, R., Schütt, M., Yui, N. (eds) Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Fields Institute Communications, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6403-7_18
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DOI: https://doi.org/10.1007/978-1-4614-6403-7_18
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