Galois module structure of Jacobians in unramified extensions (Q5945125)

This article determines the structure of the \(l\)-part of the Jacobian \(J_L\) as a \(\mathbb{Z}_l[G]\)-module, where \(L/K\) is an \(l\)-extension of function fields of one variable of characteristic \(l\not=p\) and \(G\) is the Galois group. The authors impose the fairly strong condition that \(L/K\) is unramified. The results and the methods seem fairly close to previous publications of the same authors (including joint work with M.~Madan and with R.~López-Bautista).