A BOUND FOR THE MILNOR SUM OF PROJECTIVE PLANE CURVES IN TERMS OF GIT
Let C be a projective plane curve of degree d whose singularities are all isolated. Suppose C is not concurrent lines. Ploski proved that the Milnor number of an isolated singlar point of C is less than or equal to (d-1)(2) - [d/2]. In this paper, we prove that the Milnor sum of C is also less than or equal to (d-1)(2) - [d/2] and the equality holds if and only if C is a Ploski curve. Furthermore, we find a bound for the Milnor sum of projective plane curves in terms of GIT.
- Publisher
- KOREAN MATHEMATICAL SOC
- Issue Date
- 2016-03
- Language
- English
- Article Type
- Article
- Keywords
SINGULARITIES; HYPERSURFACES
- Citation
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.53, no.2, pp.461 - 473
- ISSN
- 0304-9914
- Appears in Collection
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