2 papers
math.NT2026
Improvements to Jacobian Arithmetic in Global Function Fields
Vincent Macri, Michael Jacobson, Renate Scheidler
We present two improvements to arithmetic in the Jacobian of global function fields based on the approach of Hess. The first reduces the number of expensive reduction steps by opti…
math.NT2024
Solving norm equations in global function fields
Sumin Leem, Michael Jacobson, Renate Scheidler
We present two new algorithms for solving norm equations over global function fields with at least one infinite place of degree 1 and no wild ramification. The first of these is a…