Relating Catlin and D'Angelo $q$-types
Complex Variables
2023-11-14 v3 Algebraic Geometry
Abstract
We clarify the relationship between the two most standard measurements of the order of contact of q-dimensional complex varieties with a real hypersurface, the Catlin and D'Angelo -types, by showing that the former equals the generic value of the normalized order of contact measured along curves whose infimum is by definition the D'Angelo -type.
Cite
@article{arxiv.1707.08294,
title = {Relating Catlin and D'Angelo $q$-types},
author = {Vasile Brinzanescu and Andreea C. Nicoara},
journal= {arXiv preprint arXiv:1707.08294},
year = {2023}
}
Comments
15 pages; new results added and more details in the proof of the Main Theorem. arXiv admin note: text overlap with arXiv:1302.2294