P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)

التفاصيل البيبلوغرافية
العنوان: P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
المؤلفون: Loeffler, David, Zerbes, Sarah Livia
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, 11F46, 11F67, 11F80, 11R23
الوصف: We develop a (largely conjectural) theory of p-adic L-functions interpolating square roots of central L-values for automorphic forms on GSp(4) x GL(2) x GL(2), and a relation between these p-adic L-functions and families of Galois cohomology classes interpolating algebraic cycles. Our theory is a generalisation of the theory of "diagonal cycles" developed by Darmon and Rotger for the GL(2) triple product.
Comment: 24 pages. v2: minor updates to references and acknowledgements
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2011.15064
رقم الأكسشن: edsarx.2011.15064
قاعدة البيانات: arXiv