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math.AG2025
Pairing Anderson motives via formal residues in the Frobenius endomorphism
Quentin Gazda, Andreas Maurischat
Anderson modules form a generalization of Drinfeld modules and are commonly understood as the counterpart of abelian varieties but with function field coefficients. In an attempt t…
math.AG2022
Carlitz twists: their motivic cohomology, regulators, zeta values and polylogarithms
Quentin Gazda, Andreas Maurischat
The integral -motivic cohomology and the class module of a (rigid analytically trivial) Anderson -motive were introduced by the first author in [Gaz22b]. This paper is devote…
math.AG2022
Regulators in the Arithmetic of Function Fields
Quentin Gazda
As a natural sequel to the study of A-motivic cohomology initiated in "On the integral part of A-motivic cohomology", we develop a notion of regulator for rigid analytically trivia…