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Session 30. Real Algebraic Geometry, applications and related topics
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Milnor numbers in deformations of homogeneous singularities |
Tadeusz Krasiński, Faculty of Mathematics and Computer Science, University of Łódź, Poland
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The talk is based on the joint work with Szymon Brzostowski and Justyna Walewska
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Let \(f_{0}\) be a plane curve singularity. We study the Minor
numbers of singularities in deformations of \(f_{0}\). We completely
describe the set of these Milnor numbers for homogeneous
singularities \(f_{0}\) in the case of non-degenerate deformations
and obtain some partial results on this set in the general case.
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References- Brzostowski, T. Krasiński, J. Walewska,
Milnor numbers in deformations of homogeneous
singularities , arXiv:1404.7704v1.
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