Geodesic
Hecke fields of analytic families of modular forms
Hida, Haruzo1
1 Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095-1555
Journal of the American Mathematical Society, Tome 24 (2011) no. 1, pp. 51-80

Voir la notice de l'article provenant de la source American Mathematical Society

We make finiteness conjectures on the composite of Hecke fields of classical members of a $p$-adic analytic family of slope 0 elliptic modular forms in the vertical case (with fixed level varying weight). In the horizontal case (fixed weight varying $p$-power level), we prove the corresponding statements.
DOI : 10.1090/S0894-0347-2010-00680-7

Hida, Haruzo 1

1 Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095-1555 
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Hida, Haruzo. Hecke fields of analytic families of modular forms. Journal of the American Mathematical Society, Tome 24 (2011) no. 1, pp. 51-80. doi: 10.1090/S0894-0347-2010-00680-7

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