2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AC2026
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…
math.AC2025
On defect in finite extensions of valued fields
Caio Henrique Silva de Souza, Mark Spivakovsky
In recent decades, the defect of finite extensions of valued fields has emerged as the main obstacle in several fundamental problems in algebraic geometry such as the local uniform…
math.AC2021★ 2 cited
On truncations of valuations
Josnei Antonio Novacoski, Caio Henrique Silva de Souza
In this paper we study the truncation of a valuation on a polynomial . It is known that when is a key polynomial, then is a valuation. It is also known that…