activity
20152025
most citedShtuka cohomology and special values of Goss L-functions

8 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2025

Weil representations associated to isocrystals over function fields

Maxim Mornev, Richard Pink

Every Anderson -motive over a field determines a compatible system of Galois representations on its Tate modules at almost all primes of . This adapts easily to -isocr…

math.NT2024

Local Kummer theory for Drinfeld modules

Maxim Mornev, Richard Pink

Let be a Drinfeld -module of finite residual characteristic over a local field . We study the action of the inertia group of on a modified adelic…

math.NT2023

Local monodromy of Drinfeld modules

M. Mornev

Compared with algebraic varieties the local monodromy of Drinfeld modules appears to be hopelessly complex: The image of the wild inertia subgroup under Tate module representations…

math.NT2019

Tate modules of isocrystals and good reduction of Drinfeld modules

M. Mornev

A Drinfeld module has a -adic Tate module not only for every finite place of the coefficient ring but also for . This was discov…

math.NT2018★ 8 cited

Shtuka cohomology and special values of Goss L-functions

M. Mornev

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings. In order to prove this formula we develop…

math.NT2015

Tannakian properties of unit Frobenius-modules

Maxim Mornev

We show that unit -modules of Emerton and Kisin provide an analogue of locally constant sheaves in the context of Böckle-Pink -crystals. For example they fo…