3 citations · 3 across the 1 of their papers we have counts for
4 papers
Some algebraic and topological properties of subspaces of (pre)orders
Julie Decaup
We study algebraic and topological properties of subsets of preorders on a group. In particular we study properties of the composition of two preorders, generalize a topological th…
Finiteness results concerning algebraic power series
Fuensanta Aroca, Julie Decaup, Guillaume Rond
We construct an explicit filtration of the ring of algebraic power series by finite dimensional constructible sets, measuring the complexity of these series. As an application, we…
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…
Simultaneous Monomialization
Julie Decaup
We give a new proof of the simultaneous embedded local uniformization Theorem in zero characteristic for essentially of finite type rings and for quasi excellent rings. The results…