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- W1527276513 abstract "In this paper we give some evidence for the Tate (and Hodge) conjecture(s) for a class of Hilbert modular fourfolds X, whose connected components arise as arithmetic quotients of the fourfold product of the upper half plane by congruence subgroups Gamma of SL(2, O_K), where O_K denotes the ring of integers of a quartic, Galois, totally real number field K. The expected relationship to the orders of poles of the associated L-functions is verified for abelian extensions of Q. Also shown is the existence of homologically non-trivial cycles of codimension two which are not intersections of divisors." @default.
- W1527276513 created "2016-06-24" @default.
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- W1527276513 date "2003-10-11" @default.
- W1527276513 modified "2023-09-27" @default.
- W1527276513 title "Algebraic cycles on Hilbert modular fourfolds and poles of L-functions" @default.
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