paper

Ultrametric Smale's -theory

arXiv:2206.08392 · doi:10.1145/3572867.3572875

Abstract

We present a version of Smale's -theory for ultrametric fields, such as the -adics and their extensions, which gives us a multivariate version of Hensel's lemma.

4 pages. 2nd version: Correction of errata in the exponents of main theorem