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Zero-dimensional gradient singularities

Huaiqing Zuo Tsinghua university A G Aleksandrov

mathscidoc:1803.01002

METHODS AND APPLICATIONS OF ANALYSIS., 24, (2), 169-184, 2017.6
We discuss an approach to the problem of classifying zero-dimensional gradient quasihomogeneous singularities using simple properties of deformation theory. As an example, we enumerate all such singularities with modularity ℘ = 0 and with Milnor number not greater than 12. We also compute normal forms and monomial vector-bases of the first cotangent homology and cohomology modules, the corresponding Poincar´e polynomials, inner modality, inner modularity, primitive ideals, etc.
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@inproceedings{huaiqing2017zero-dimensional,
  title={ZERO-DIMENSIONAL GRADIENT SINGULARITIES},
  author={Huaiqing Zuo, and A G Aleksandrov},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180307144712228569970},
  booktitle={METHODS AND APPLICATIONS OF ANALYSIS.},
  volume={24},
  number={2},
  pages={169-184},
  year={2017},
}
Huaiqing Zuo, and A G Aleksandrov. ZERO-DIMENSIONAL GRADIENT SINGULARITIES. 2017. Vol. 24. In METHODS AND APPLICATIONS OF ANALYSIS.. pp.169-184. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180307144712228569970.
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