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Mond's conjecture for maps between curves
Daiane Alice Henrique AmentJuan J. Nuño-ballesterossubject
ConjectureDegree (graph theory)Plane curveGeneral MathematicsImage (category theory)010102 general mathematicsMathematical analysisCodimension01 natural sciencesMilnor numberCombinatoricsSingularity0103 physical sciencesGerm010307 mathematical physics0101 mathematicsMathematicsdescription
A theorem by D. Mond shows that if f:(C,0)→C2,0 is finite and has has degree one onto its image (Y, 0), then the Ae-codimension is less than or equal to the image Milnor number μI(f), with equality if and only if (Y, 0) is weighted homogeneous. Here we generalize this result to the case of a map germ f:(X,0)→C2,0, where (X, 0) is a plane curve singularity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-26 | Mathematische Nachrichten |