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Sporadic cycles on CM abelian varieties. (English) Zbl 0798.14025
The paper gives an example of an abelian variety with the following two properties:
(i) The Mumford-Tate group is not maximal.
(ii) The ring of Hodge cycles is generated by classes of divisors.

14K22 Complex multiplication and abelian varieties
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)
Full Text: Numdam EuDML
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[2] H. Pohlmann : Algebraic cycles on abelian varieties of complex multiplication type . Ann. Math. 88 (1968), 161-180. · Zbl 0201.23201
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[5] G. Smith : Generic Cyclic Polynomials and Some Applications . Ph.D. thesis, 1990.
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