The aim of this paper is twofold. We first introduce and study certain defor- mations of Drinfeld quasi-modular forms by using rigid analytic trivialisations of families of Anderson t-motives of rank two. We show that a sub-algebra of these deformations has a natural graduation and an homogeneous endomorphism. Then, we deduce from this and other properties, multiplicity estimates.
Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms / Pellarin, Federico. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - 2014:687(2014), pp. 1-42. [10.1515/crelle-2012-0048]
Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
Federico Pellarin
2014
Abstract
The aim of this paper is twofold. We first introduce and study certain defor- mations of Drinfeld quasi-modular forms by using rigid analytic trivialisations of families of Anderson t-motives of rank two. We show that a sub-algebra of these deformations has a natural graduation and an homogeneous endomorphism. Then, we deduce from this and other properties, multiplicity estimates.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Pellarin_Estimating-the-order_2014.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
751.29 kB
Formato
Adobe PDF
|
751.29 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
