On finiteness of endomorphism rings of abelian varieties
- Autores: Chia-Fu Yu
- Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 2-3, 2010, págs. 357-370
- Idioma: inglés
- DOI: 10.4310/mrl.2010.v17.n2.a14
- Enlaces
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Resumen
The endomorphism ring $\End(A)$ of an abelian variety $A$ is an order in a semi-simple algebra over $\Q$. The co-index of $\End(A)$ is the index to a maximal order containing it. We show that for abelian varieties of fixed dimension over any field of \ch $p>0$, the $p$-exponents of the co-indices of their endomorphism rings are bounded. We also give a few applications to this finiteness result.
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