The de Rham isomorphism for Drinfeld modules over Tate algebras Academic Article uri icon

abstract

  • © 2019 Elsevier Inc. Introduced by Anglès, 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.

author list (cited authors)

  • Gezmiş, O., & Papanikolas, M. A.

citation count

  • 1

publication date

  • May 2019