On the local uniformization problem

Josnei Novacoski, and Mark Spivakovsky. "On the local uniformization problem." Banach Center Publications 108.1 (2016): 231-238. <http://eudml.org/doc/286155>.

@article{JosneiNovacoski2016,
abstract = {In this paper we give a short introduction to the local uniformization problem. This follows a similar line as the one presented by the second author in his talk at ALANT 3. We also discuss our paper on the reduction of local uniformization to the rank one case. In that paper, we prove that in order to obtain local uniformization for valuations centered at objects of a subcategory of the category of noetherian integral domains, it is enough to prove it for rank one valuations centered at objects of the same category. We also announce an extension of this work which was partially developed during ALANT 3. This extension says that the reduction mentioned above also works for noetherian rings with zero divisors (including the case of non-reduced rings).},
author = {Josnei Novacoski, Mark Spivakovsky},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {231-238},
title = {On the local uniformization problem},
url = {http://eudml.org/doc/286155},
volume = {108},
year = {2016},
}

TY - JOUR
AU - Josnei Novacoski
AU - Mark Spivakovsky
TI - On the local uniformization problem
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 231
EP - 238
AB - In this paper we give a short introduction to the local uniformization problem. This follows a similar line as the one presented by the second author in his talk at ALANT 3. We also discuss our paper on the reduction of local uniformization to the rank one case. In that paper, we prove that in order to obtain local uniformization for valuations centered at objects of a subcategory of the category of noetherian integral domains, it is enough to prove it for rank one valuations centered at objects of the same category. We also announce an extension of this work which was partially developed during ALANT 3. This extension says that the reduction mentioned above also works for noetherian rings with zero divisors (including the case of non-reduced rings).
LA - eng
UR - http://eudml.org/doc/286155
ER -