Algebraic cycles on Hilbert modular fourfolds and poles of L-functions
| dc.creator | Ramakrishnan, Dinakar | |
| dc.date | 2003-10-11 | |
| dc.date.accessioned | 2026-07-07T05:01:48Z | |
| dc.date.available | 2026-07-07T05:01:48Z | |
| dc.description | 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 Γof 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. | |
| dc.identifier | https://arxiv.org/abs/math/0310162 | |
| dc.identifier | http://arxiv.org/abs/math/0310162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68815 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F41; 11G35; 14C25; 14G35 | |
| dc.title | Algebraic cycles on Hilbert modular fourfolds and poles of L-functions | |
| dc.type | text |