In this paper, we develop the theory of vectorial modular forms with values in Tate algebras introduced by the first author, in a very special case (dimension two, for a very particular representation of :=GL2(q[])). Among several results that we prove here, we determine the complete structure of the modules of these forms, we describe their specializations at roots of unity and their connection with Drinfeld modular forms for congruence subgroups of and we prove that the modules generated by these forms are stable under the actions of Hecke operators.
Vectorial Drinfeld modular forms over Tate algebras / Pellarin, F.; Perkins, R. B.. - In: INTERNATIONAL JOURNAL OF NUMBER THEORY. - ISSN 1793-0421. - 14:6(2018), pp. 1729-1783. [10.1142/S1793042118501063]
Vectorial Drinfeld modular forms over Tate algebras
Pellarin F.;
2018
Abstract
In this paper, we develop the theory of vectorial modular forms with values in Tate algebras introduced by the first author, in a very special case (dimension two, for a very particular representation of :=GL2(q[])). Among several results that we prove here, we determine the complete structure of the modules of these forms, we describe their specializations at roots of unity and their connection with Drinfeld modular forms for congruence subgroups of and we prove that the modules generated by these forms are stable under the actions of Hecke operators.| File | Dimensione | Formato | |
|---|---|---|---|
|
Pellarin_Vectorial-drinfeld_2018.pdf
solo gestori archivio
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
801.92 kB
Formato
Adobe PDF
|
801.92 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
