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math.AG2018
Algebraic varieties are homeomorphic to varieties defined over number fields
Adam Parusinski, Guillaume Rond
We show that every affine or projective algebraic variety defined over the field of real or complex numbers is homeomorphic to a variety defined over the field of algebraic numbers…
math.AG2017
Remark on a theorem of H. Hauser on textile maps
Guillaume Rond
We give a counter example to the new theorem that appeared in the survey \cite{H} on Artin approximation. We then provide a correct statement and a proof of it.