An Euler system for the adjoint of a modular form

التفاصيل البيبلوغرافية
العنوان: An Euler system for the adjoint of a modular form
المؤلفون: Loeffler, David, Zerbes, Sarah Livia
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, 11F67 11F80 11G18
الوصف: We construct an Euler system for the adjoint Galois representation of a modular form, using motivic cohomology classes arising from Hilbert modular surfaces. We use this Euler system to give an upper bound for the Selmer group of the adjoint representation over the cyclotomic Zp-extension, which agrees with the predictions of the Iwasawa main conjecture up to powers of p and the augmentation ideal.
Comment: 11 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.04665
رقم الأكسشن: edsarx.2312.04665
قاعدة البيانات: arXiv