We prove an equivariant version of Beilinson’s conjecture on non-critical [Formula: see text]-values of strongly modular abelian varieties over number fields. The proof builds on Beilinson’s theorem on modular curves… Click to show full abstract
We prove an equivariant version of Beilinson’s conjecture on non-critical [Formula: see text]-values of strongly modular abelian varieties over number fields. The proof builds on Beilinson’s theorem on modular curves as well as a modularity result for endomorphism algebras. As an application, we prove a weak version of Zagier’s conjecture on [Formula: see text] and Deninger’s conjecture on [Formula: see text] for non-CM strongly modular [Formula: see text]-curves.
Keywords:
modular abelian;
see text;
formula see;
abelian varieties;
non critical
Journal Title: International Journal of Number Theory
Year Published: 2018
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Journal Title: International Journal of Number Theory
Year Published: 2018
Link to full text (if available)
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recommendations!