English

Continuous rational functions on real and $p$-adic varieties II

Algebraic Geometry 2013-09-30 v2

Abstract

This note replaces two earlier preprints (1101.3737 by Koll\'ar) and (1211.6681 by Nowak). It studies, and partially solves, 3 elementary questions about continuous rational functions on real (and p-adic) algebraic varieties: Can one restrict such a function to a subvariety? Can one extend such a function from a subvariety? Which linear equations can be solved using such functions? v.2: Section 3 simplified and typos corrected.

Keywords

Cite

@article{arxiv.1301.5048,
  title  = {Continuous rational functions on real and $p$-adic varieties II},
  author = {János Kollár and Krzysztof Nowak},
  journal= {arXiv preprint arXiv:1301.5048},
  year   = {2013}
}

Comments

supercedes arXiv:1101.3737

R2 v1 2026-06-21T23:13:13.034Z