4 papers · 1 filter
Isomorphism classes of Drinfeld modules over finite fields
Valentijn Karemaker, Jeffrey Katen, Mihran Papikian
We study isogeny classes of Drinfeld -modules over finite fields with commutative endomorphism algebra , in order to describe the isomorphism classes in a fixed isogeny c…
Restrictions on Weil polynomials of Jacobians of hyperelliptic curves
Edgar Costa, Ravi Donepudi, Ravi Fernando +3
Inspired by experimental data, this paper investigates which isogeny classes of abelian varieties defined over a finite field of odd characteristic contain the Jacobian of a hypere…
A comparison between obstructions to local-global principles over semiglobal fields
David Harbater, Julia Hartmann, Valentijn Karemaker +1
We consider local-global principles for rational points on varieties, in particular torsors, over one-variable function fields over complete discretely valued fields. There are sev…
Dynamical Belyi maps and arboreal Galois groups
Irene I. Bouw, Ozlem Ejder, Valentijn Karemaker
We consider a large class of so-called dynamical Belyi maps and study the Galois groups of iterates of such maps. From the combinatorial invariants of the maps, we construct a usef…