# A bound for the Milnor number of plane curve singularities

Open Mathematics (2014)

- Volume: 12, Issue: 5, page 688-693
- ISSN: 2391-5455

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topArkadiusz Płoski. "A bound for the Milnor number of plane curve singularities." Open Mathematics 12.5 (2014): 688-693. <http://eudml.org/doc/269739>.

@article{ArkadiuszPłoski2014,

abstract = {Let f = 0 be a plane algebraic curve of degree d > 1 with an isolated singular point at 0 ∈ ℂ2. We show that the Milnor number μ0(f) is less than or equal to (d−1)2 − [d/2], unless f = 0 is a set of d concurrent lines passing through 0, and characterize the curves f = 0 for which μ0(f) = (d−1)2 − [d/2].},

author = {Arkadiusz Płoski},

journal = {Open Mathematics},

keywords = {Milnor number; Plane algebraic curve; plane curve},

language = {eng},

number = {5},

pages = {688-693},

title = {A bound for the Milnor number of plane curve singularities},

url = {http://eudml.org/doc/269739},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Arkadiusz Płoski

TI - A bound for the Milnor number of plane curve singularities

JO - Open Mathematics

PY - 2014

VL - 12

IS - 5

SP - 688

EP - 693

AB - Let f = 0 be a plane algebraic curve of degree d > 1 with an isolated singular point at 0 ∈ ℂ2. We show that the Milnor number μ0(f) is less than or equal to (d−1)2 − [d/2], unless f = 0 is a set of d concurrent lines passing through 0, and characterize the curves f = 0 for which μ0(f) = (d−1)2 − [d/2].

LA - eng

KW - Milnor number; Plane algebraic curve; plane curve

UR - http://eudml.org/doc/269739

ER -

## References

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