Analogue of Tate's conjecture for fibrations in varieties
Analogue of Tate's conjecture for fibrations in varieties
Let be a fibration in varieties over a number field . Let be the finite set of excluded prime ideals, let denote the residue-field cardinality at , and let be the average degree-two Frobenius trace defined in the source. Let be the Néron–Severi group. Analogue of Tate's conjecture for fibrations in varieties.
This is the proposed fibration analogue of the divisor case of Tate's conjecture. The source does not state whether it is known or resolved.
Sources & referencesView supporting material
Primary source
Marc Hindry, Amilcar Pacheco and Rania Wazir, “Fibrations et conjecture de Tate”, arXiv:math/0311417 (2004).
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