Geodesic
Hodge Classes and Abelian Varieties of Quaternionic Type
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 247-256

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We obtain coniugacy classes (with respect to a \(\mathfrak{s}l_2\) action) in the space of Hodge cycles in the middle cohomology of an Abelian variety of quaternionic type. The existence of such a class simplifies the study of the Hodge conjecture. 
@article{BUMI_2006_8_9B_1_a12,
     author = {Lombardo, Giuseppe},
     title = {Hodge {Classes} and {Abelian} {Varieties} of {Quaternionic} {Type}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {247--256},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {1},
     year = {2006},
     zbl = {1150.14001},
     mrnumber = {2204910},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a12/}
}
TY  - JOUR
AU  - Lombardo, Giuseppe
TI  - Hodge Classes and Abelian Varieties of Quaternionic Type
JO  - Bollettino della Unione matematica italiana
PY  - 2006
SP  - 247
EP  - 256
VL  - 9B
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a12/
LA  - en
ID  - BUMI_2006_8_9B_1_a12
ER  - 
%0 Journal Article
%A Lombardo, Giuseppe
%T Hodge Classes and Abelian Varieties of Quaternionic Type
%J Bollettino della Unione matematica italiana
%D 2006
%P 247-256
%V 9B
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a12/
%G en
%F BUMI_2006_8_9B_1_a12
Lombardo, Giuseppe. Hodge Classes and Abelian Varieties of Quaternionic Type. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 247-256. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_1_a12/