/manager/Index ${session.getAttribute("locale")} 5 Explicit Drinfeld moduli schemes and Abhyankar’s generalized iteration conjecture /manager/Repository/uon:40248 k be a field containing Fq. Let ψ be a rank r Drinfeld Fq[t]-module determined by ψt(X) = tX + aXq+···+ar−1Xqr−1+Xqr, where t, a₁,...,ar−1 are algebraically independent over k. Let n ∈ Fq[t] be a monic polynomial. We show that the Galois group of ψₙ(X) over k(t, a₁,...,ar−1) is isomorphic to GLr(Fq[t]/nFq[t]), settling a conjecture of Abhyankar. Along the way we obtain an explicit construction of Drinfeld moduli schemes of level tn. Video. For a video summary of this paper, please visit]]> Thu 28 Jul 2022 11:09:26 AEST ]]> Heights and isogenies of Drinfeld modules /manager/Repository/uon:39218 Fri 27 May 2022 11:30:35 AEST ]]> Drinfeld modular polynomials in higher rank II: Kronecker congruences /manager/Repository/uon:40246 Fri 08 Jul 2022 13:23:56 AEST ]]>