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Jumps of Milnor numbers of Brieskorn-Pham singularities in non-degenerate families
- Publication Year :
- 2018
-
Abstract
- The jump of the Milnor number of an isolated singularity $f_{0}$ is the minimal non-zero difference between the Milnor numbers of $f_{0}$ and one of its deformation $(f_{s}).$ In the case $f_{s}$ are non-degenerate singularities we call the jump non-degenerate. We give a formula (an inductive algorithm using diophantine equations) for the non-degenerate jump of $f_{0}$ in the case $f_{0}$ is a convenient singularity with only one $(n-1)$-dimensional face of its Newton diagram which equivalently (in our problem) can be replaced by the Brieskorn-Pham singularities.<br />Comment: 10 pages, 1 figure. arXiv admin note: text overlap with arXiv:1508.02704
- Subjects :
- Mathematics - Algebraic Geometry
14B07, 32S30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1803.05324
- Document Type :
- Working Paper