On a generic dimension of the critical locus
2020
artykuł naukowy
angielski
- dimension
- critical locus
- singularity
- Newton diagram
- nondegeneracy
- support
EN Let f : (Cn, 0) → (C, 0) , n ≤ 3, be a nondegenerate singularity. In this article we give a combinatorial characterization of the dimension of the critical locus of f in terms of its support. We also show that this dimension can be read off from the Newton diagram of f , which solves one of Arnold’s problems in this case.
59-1 - 59-9
article number: 59
CC BY (uznanie autorstwa)
czasopismo hybrydowe
ostateczna wersja opublikowana
publiczny
100
100
1,199