This is a remark in a paper by Jiye Yu, "multitypes of convex domains".\ For a smoothly bounded domain $\Omega\subseteq \mathbb{C}^2$, and suppose that it is defined by the defining function $r(z,w)=2 \Re w+2 \Re z^2+|z|^4$ in a neighborhood of origin $0\in {\partial \Omega}$. Then Catlin multitype $\mathcal M(\partial \Omega,0)=(1,4).$ Can someone please explain how to obtain this, mainly what steps to follow in order to obtain this?
2026-03-28 21:57:13.1774735033
catlin multitype of a particular domain
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