7 citations · 15 across the 15 of their papers we have counts for
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math.GR2019★ 3 cited
Preordered groups and valued fields
Julie Decaup, Guillaume Rond
We study algebraic, combinatorial and topological properties of the set of preorders on a group, and the set of valuations on a field. We show strong analogies between these two ki…
math.CV2019
Transcendental holomorphic maps between real algebraic manifolds in a complex space
Guillaume Rond
We give an example of a real algebraic manifold embedded in a complex space that does not satisfy the Nash-Artin approximation Property. This Nash-Artin approximation Property is c…
math.AC2019
The minimal cone of an algebraic Laurent series
Fuensanta Aroca, Julie Decaup, Guillaume Rond
We study the algebraic closure of , the field of power series in several indeterminates over a field . In characteristic zero we show that the elemen…