Hodge Classes and Abelian Varieties of Quaternionic Type
Lombardo, Giuseppe
Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006), p. 247-256 / Harvested from Biblioteca Digitale Italiana di Matematica
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We obtain coniugacy classes (with respect to a 𝔰⁢l2 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.

In questo articolo viene analizzato lo spazio delle classi di Hodge contenute nella coomologia intermedia di una varietà Abeliana di tipo quaternionico. Vengono costruite 𝔰⁢l2-rappresentazioni che semplificano lo studio della congettura di Hodge in quanto l'agebricità di una classe implica quella di tutte le altre contenute nelle medesima rappresentazione.

Publié le : 2006-02-01
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     author = {Giuseppe Lombardo},
     title = {Hodge Classes and Abelian Varieties of Quaternionic Type},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {9-A},
     year = {2006},
     pages = {247-256},
     zbl = {1150.14001},
     mrnumber = {2204910},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2006_8_9B_1_247_0}
}

Lombardo, Giuseppe. Hodge Classes and Abelian Varieties of Quaternionic Type. Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006) pp. 247-256. http://gdmltest.u-ga.fr/item/BUMI_2006_8_9B_1_247_0/

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