تقرير
p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions
| العنوان: | p-adic interpolation of Gauss--Manin connections on nearly overconvergent modular forms and p-adic L-functions |
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| المؤلفون: | Graham, Andrew, Pilloni, Vincent, Jacinto, Joaquín Rodrigues |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11F33, 11F67, 11F77 |
| الوصف: | In this paper, we give a new geometric definition of nearly overconvergent modular forms and $p$-adically interpolate the Gauss-Manin connection on this space. This can be seen as an ``overconvergent'' version of the unipotent circle action on the space of $p$-adic modular forms, as constructed by Gouv\^{e}a and Howe. This improves on results of Andreatta--Iovita and has applications to the construction of Rankin--Selberg and triple product $p$-adic $L$-functions. Comment: 45 pages. Comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.14438 |
| رقم الأكسشن: | edsarx.2311.14438 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |