Mathematics – Commutative Algebra
Scientific paper
2012-04-20
Mathematics
Commutative Algebra
22 pages
Scientific paper
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 on the nature of the class of local rings
for which we want to prove local uniformization. We prove also the reductions
for di?erent versions of the local uniformization theorem.
Novacoski Josnei
Spivakovsky Mark
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