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

abstract

• 2019 Elsevier Inc. Introduced by Angls, 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.

authors

• Papanikolas, Matthew

published proceedings

• JOURNAL OF ALGEBRA

altmetric score

• 0.75

author list (cited authors)

• Gezmis, O., & Papanikolas, M. A.

citation count

• 2

complete list of authors

• Gezmis, Oguz||Papanikolas, Matthew A

publication date

• May 2019

publisher

• Elsevier  Publisher

published in

• Journal of Algebra  Journal

keywords

• Dc Rham Map
• Drinfeld Modules
• Tate Algebras
• Uniformizability

Digital Object Identifier (DOI)

• 10.1016/j.jalgebra.2019.02.006

start page

• 454

end page

• 496

volume

• 525

URL

• http://dx.doi.org/10.1016/j.jalgebra.2019.02.006