A proof of Kurdyka's conjecture on arc-analytic functions
Algebraic Geometry
2017-09-29 v2
Abstract
We prove a conjecture of Kurdyka stating that every arc-symmetric semialgebraic set is precisely the zero locus of an arc-analytic semialgebraic function. This implies, in particular, that arc-symmetric semialgebraic sets are in one-to-one correspondence with radical ideals of the ring of arc-analytic semialgebraic functions.
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Cite
@article{arxiv.1701.02712,
title = {A proof of Kurdyka's conjecture on arc-analytic functions},
author = {Janusz Adamus and Hadi Seyedinejad},
journal= {arXiv preprint arXiv:1701.02712},
year = {2017}
}
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