Lowest order invariants for real-analytic surfaces in $\textbf {C}^ 2$

Abstract:

Suppose $M$ is a general real-analytic surface in complex euclidean two-space with complex tangent space at a point $p$. Further suppose $M$ is tangent to order $k$ at $p$. This paper determines a complete set of $k$th order local holomorphic invariants for $M$ at $p$.