2 citations · 3 across the 11 of their papers we have counts for
17 papers
Ramification ideals for products of pure subgroups
Josnei Novacoski
Let be a finite Galois extension of henselian valued fields. We study the ramification ideals , for subgroups , when the Galois grou…
On topologies on the space of valuations and the valuative tree
Vinicius Manfredini, Josnei Novacoski, Caio Henrique Silva de Souza
In this paper, we discuss topological aspects of the space of valuations and the valuative tree . We present a relation between the weak tree topolog…
Purity and distances between conjugates of elements over henselian valued fields
Arpan Dutta, Josnei Novacoski
For a henselian valued field and a separable-algebraic element , we consider the set $S_K(a):= \{ v(a-a^\prime) \mid a^\prime\neq a \text{ is a…
On the distances of an element to its conjugates
Josnei Novacoski
For a valued field , with a fixed extension of to the algebraic closure of , and an element , we are interested in the possible values…
Valuation rings in simple algebraic extensions of valued fields
Josnei Novacoski, Mark Spivakovsky
Consider a simple algebraic valued field extension and denote by and the corresponding valuation rings. The main goal of this paper is to pr…
Depth of extensions of valuations
Josnei Novacoski, Enric Nart
In this paper we develop the theory of the depth of a simple algebraic extension of valued fields . This is defined as the minimal number of augmentations appearing in som…