RT info:eu-repo/semantics/article
T1 Newton non-degenerate foliations and blowing-ups
A1 Molina Samper, Beatriz
AB A codimension one singular holomorphic foliation is Newton non-degenerate if it satisfies some non-degeneracy conditions, in terms of its Newton polyhedra system. These conditions are similar to the ones of Kouchnirenko and Oka for the case of functions. We introduce the concept of logarithmic reduction of singularities and we prove that a foliation is Newton non-degenerate if and only if it admits a logarithmic reduction of singularities of a combinatorial nature.
PB Elsevier
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/71170
UL https://uvadoc.uva.es/handle/10324/71170
LA eng
NO B. Molina-Samper, Newton non-degenerate foliations and blowing-ups, Bull. Sci. Math. 162 (2020)  102872, https://doi .org /10 .1016 /j .bulsci .2020 .102872.
DS UVaDOC
RD 22-nov-2024