A theta operator on Picard modular forms modulo an inert prime
نویسندگان
چکیده
منابع مشابه
A theta operator on Picard modular forms modulo an inert prime
(an 2 1 Fp) of such a form, μ is given by qd=dq: It lifts, by the same formula, to the space of p-adic modular forms. This suggests a relation with the Tate twist of the mod p Galois representation attached to f; if the latter is a Hecke eigenform. Over C; this operator has been considered already by Ramanujan, where it fails to preserve modularity “by a multiple of E2": Maass modi...ed it so t...
متن کاملSupersingular Curves on Picard Modular Surfaces modulo an Inert Prime
We study the supersingular curves on Picard modular surfaces modulo a prime p which is inert in the underlying quadratic imaginary ...eld. We analyze the automorphic vector bundles in characteristic p; and as an application derive a formula relating the number of irreducible components in the supersingular locus to the second Chern class of the surface. The characteristic p ...bers of Shimura v...
متن کاملA Theta Operator for Siegel Modular Forms (preliminary Version)
We define a theta operator between spaces of Siegel modular forms (mod p), generalizing the theta operator for (elliptic) modular forms.
متن کاملOn Modular Galois Representations modulo Prime Powers
On modular Galois representations modulo prime powers Chen, Imin; Kiming, Ian; Wiese, Gabor Published in: International Journal of Number Theory DOI: 10.1142/S1793042112501254 Publication date: 2013 Document Version Publisher's PDF, also known as Version of record Citation for published version (APA): Chen, I., Kiming, I., & Wiese, G. (2013). On modular Galois representations modulo prime power...
متن کاملLectures on Modular Galois Representations Modulo Prime Powers
This is a sketch of the content of my three lectures during the PhD School Modular Galois Representations Modulo Prime Powers, held in Copenhagen from 6/12/2011 until 9/12/2011, organised by Ian Kiming. Thanks Ian! 1 Modular Forms Modulo Prime Powers Modular forms, in their classical appearance (19th century! Eisenstein, Weierstraß, Jacobi, Poincaré, etc.) and in the way one usually gets to kno...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Research in the Mathematical Sciences
سال: 2016
ISSN: 2197-9847
DOI: 10.1186/s40687-016-0075-8