3 citations · 6 across the 5 of their papers we have counts for
7 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…
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…
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…
Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane -- Vaquie
Julie Decaup, Mark Spivakovsky, Wael Mahboub
Let be a simple purely transcendental extension of valued fields. In order to study such an extension, M. Vaquié, generalizing an earlier construct…
Affine lines in the complement of a smooth plane conic
Julie Decaup, Adrien Dubouloz
We classify closed curves isomorphic to the affine line in the complement of a smooth rational projective plane conic Q. Over a field of characteristic zero, we show that up to the…