Differential characters of Drinfeld modules and de Rham cohomology
with Arnab Saha
Abstract:
We introduce δ-characters of Drinfeld modules, which are function-field analogues of Buium’s δ-characters of p-adic elliptic curves and of Manin’s differential characters of elliptic curves in differential algebra. We determine the structure of the group of δ-characters. This shows the existence of a family of interesting δ-modular functions on the moduli of Drinfeld modules. It also leads to a canonical subspace inside the de Rham cohomology of a Drinfeld module over a δ-base. This subspace has a canonical semi-linear Frobenius operator on it.
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Release notes
2017-Mar-16: Archive release