Equimultiplicity of Families of Map Germs from $${\mathbb {C}}^2$$ to $${\mathbb {C}}^3$$

Silva, O. N.

doi:10.1007/s00574-019-00161-0

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2020

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Cited by 2 publications

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“…4.1] (see also[13, Def. 2.4] and[14, Sec. 3]).Definition 2.6 Let f : (C 2 , 0) → (C 3 , 0) be a finitely determined map germ.…”

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confidence: 99%

A formula to calculate the invariant $J$ of a quasi-homogeneous map germ

Silva¹

2020

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In this work, we consider a quasi-homogeneous, corank 1, finitely determined map germ f from (C 2 , 0) to (C 3 , 0).We consider the invariants m(f (D(f )) and J, where m(f (D(f )) denotes the multiplicity of the image of the double point curve D(f ) of f and J denotes the number of tacnodes that appears in a stabilization of the transversal slice curve of f (C 2 ). We present formulas to calculate m(f (D(f )) and J in terms of the weights and degrees of f .

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“…4.1] (see also[13, Def. 2.4] and[14, Sec. 3]).Definition 2.6 Let f : (C 2 , 0) → (C 3 , 0) be a finitely determined map germ.…”

mentioning

confidence: 99%

A formula to calculate the invariant $J$ of a quasi-homogeneous map germ

Silva¹

2020

Preprint

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On Invariants of Generic Slices of Weighted Homogeneous Corank 1 Map Germs from the Plane to 3-Space

Silva

2020

Bull Braz Math Soc, New Series

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In this work, we consider a quasi-homogeneous, corank 1, finitely determined map germ f from (C 2 , 0) to (C 3 , 0). We consider the invariants m(f (D(f))) and J , where m(f (D(f))) denotes the multiplicity of the image of the double point curve D(f) of f and J denotes the number of tacnodes that appears in a stabilization of the transversal slice curve of f (C 2). We present formulas to calculate m(f (D(f))) and J in terms of the weights and degrees of f .

show abstract

Equimultiplicity of Families of Map Germs from $${\mathbb {C}}^2$$ to $${\mathbb {C}}^3$$

Cited by 2 publications

References 27 publications

A formula to calculate the invariant $J$ of a quasi-homogeneous map germ

A formula to calculate the invariant $J$ of a quasi-homogeneous map germ

On Invariants of Generic Slices of Weighted Homogeneous Corank 1 Map Germs from the Plane to 3-Space

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