Stark units in positive characteristic | Zendy

Anglès Bruno | Zendy; Ngo Dac Tuan | Zendy; Tavares Ribeiro Floric | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Stark units in positive characteristic

Author(s) -

Anglès Bruno,

Ngo Dac Tuan,

Tavares Ribeiro Floric

Publication year - 2017

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/plms.12051

Subject(s) - mathematics , rank (graph theory) , equivariant map , sign (mathematics) , class (philosophy) , pure mathematics , series (stratigraphy) , combinatorics , discrete mathematics , mathematical analysis , paleontology , artificial intelligence , computer science , biology

We show that the module of Stark units associated to a sign‐normalized rank one Drinfeld module can be obtained from Anderson's equivariant A ‐harmonic series. We apply this to obtain a class formula à la Taelman and to prove a several variable log‐algebraicity theorem, generalizing Anderson's log‐algebraicity theorem. We also give another proof of Anderson's log‐algebraicity theorem using shtukas and obtain various results concerning the module of Stark units for Drinfeld modules of arbitrary rank.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research