7 citations · 13 across the 26 of their papers we have counts for
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math.AC2012★ 2 cited
Valuations centered at a two-dimensional regular local ring: Infima and Topologies
Josnei Novacoski
The aim of this paper is to prove that every non-empty set of valuations centered at a two-dimensional regular domain has an infimum. We also generalize some results related to a n…
math.AC2012
Reduction of Local Uniformization to the rank one case
Josnei Novacoski, Mark Spivakovsky
The main result of this paper is that in order to prove the local uniformization theorem for local rings it is enough to prove it for rank one valuations. Our proof does not depend…