Computing Unit Groups of Curves
- Sameera Vemulapalli (University of California, Berkeley, USA)
Motivated by the problem of intrinsic tropicalization of very affine varieties, we compute the group of units of the coordinate rings of smooth curves of low genus, providing explicit algorithms to do so in each case. Our techniques involve interpolation in the rational case, and methods from algebraic number theory in the elliptic case.
(joint work with Leon Zhang and Justin Chen)