PreprintarXiv licencearXiv
Jump of the Milnor Number in Linear Deformations with Fixed Order
Abstract
Let f0 be a plane curve singularity. We study the jump of the Milnor number of a homogeneous singularity f0 of order n in the class of linear deformations fs=f0+sg of f0 with fixed order ord fs=j<n for s≠0, where g is holomorphic and ord g=j.
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BibTeX
@misc{krasinski2026jump,
title = {{Jump of the Milnor Number in Linear Deformations with Fixed Order}},
author = {Tadeusz Krasiński and Aleksandra Zakrzewska},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36819},
eprint = {2609.36819},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36819},
}
RIS
TY - UNPB
TI - Jump of the Milnor Number in Linear Deformations with Fixed Order
AU - Tadeusz Krasiński
AU - Aleksandra Zakrzewska
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.36819
UR - https://arxiv.org/abs/2609.36819
AB - Let f_0 be a plane curve singularity. We study the jump of the Milnor number of a homogeneous singularity f_0 of order n in the class of linear deformations f_s=f_0+sg of f_0 with fixed order ord f_s=j<n for s≠0, where g is holomorphic and ord g=j.
ER -