https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Explicit Drinfeld moduli schemes and Abhyankar’s generalized iteration conjecture https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40248 k be a field containing F_q. Let ψ be a rank r Drinfeld F_q[t]-module determined by ψ_t(X) = tX + a₁X^q+···+a_r−1X^qr−1+X^qr, where t, a₁,...,a_r₋₁ are algebraically independent over k. Let n ∈ F_q[t] be a monic polynomial. We show that the Galois group of ψₙ(X) over k(t, a₁,...,a_r₋₁) is isomorphic to GL_r(F_q[t]/nF_q[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 https://youtu.be/TInrNq02-UA.]]> Thu 28 Jul 2022 11:09:26 AEST ]]> Heights and isogenies of Drinfeld modules https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:39218 Fri 27 May 2022 11:30:35 AEST ]]> Drinfeld modular polynomials in higher rank II: Kronecker congruences https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40246 Fri 08 Jul 2022 13:23:56 AEST ]]>