The de Rham isomorphism for Drinfeld modules over Tate algebras

Autor:	Gezmiş, Oğuz, Papanikolas, Matthew A.
Rok vydání:	2018
Předmět:	Mathematics - Number Theory 11G09 (Primary) 11R58 12H10 12J27 14F40 (Secondary)
Zdroj:	J. Algebra 525 (2019), 454-496
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jalgebra.2019.02.006
Popis:	Introduced by Angl\`{e}s, Pellarin, and Tavares Ribeiro, Drinfeld modules over Tate algebras are closely connected to Anderson log-algebraicity identities, Pellarin $L$-series, and Taelman class modules. In the present paper we define the de Rham map for Drinfeld modules over Tate algebras, and we prove that it is an isomorphism under natural hypotheses. As part of this investigation we determine further criteria for the uniformizability and rigid analytic triviality of Drinfeld modules over Tate algebras. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.05386 Zobrazit plný text záznamu View this record from Arxiv