Continuous rational functions on real and $p$-adic varieties
Algebraic Geometry
2013-01-25 v2
Abstract
This note 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?
Cite
@article{arxiv.1101.3737,
title = {Continuous rational functions on real and $p$-adic varieties},
author = {János Kollár},
journal= {arXiv preprint arXiv:1101.3737},
year = {2013}
}
Comments
This paper, while correct, is superseded by 1301.5048: Koll\'ar--Nowak: Continuous rational functions on real and $p$-adic varieties II