Abstract
The purpose of this short paper is to state the weight-monodromy conjecture for ℓ-adic representation associated to modular forms, which is implicitly proved in the paper [10], and to give a correct argument on an ambiguous point in the proof in it. The monodromy-weight conjecture is mentioned in [8, (3.2)]. We will prove the corresponding property for Hilbert modular forms in a forthcoming paper [11].
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Saito, T. (2000). Weight-Monodromy Conjecture for ℓ-Adic Representations Associated to Modular Forms. In: Gordon, B.B., Lewis, J.D., Müller-Stach, S., Saito, S., Yui, N. (eds) The Arithmetic and Geometry of Algebraic Cycles. NATO Science Series, vol 548. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4098-0_15
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DOI: https://doi.org/10.1007/978-94-011-4098-0_15
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