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

10 Jan 2020 da Silva Otoniel Nogueira

In this work, we consider a quasi-homogeneous, corank \$1\$, finitely determined map germ \$f\$ from \$(\mathbb{C}^2,0)\$ to \$(\mathbb{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(\mathbb{C}^2)\$... (read more)

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# Categories

• COMPLEX VARIABLES
• ALGEBRAIC GEOMETRY