Continuous rational functions on real and p-adic varieties

2011/01/19 by Janós Kollár, Kollár, János · 4 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #advanced mathematical theories #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1101.3737

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?

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