Given a complex surface \( S \), we are interested in the description of an \( C^2 \)- action on \( S \). It is well-known that this kind of action can be seen as the group of transformations given by the global flows of a pair of commuting complete vector fields. Our goal is to locally describe such actions around a fixed point of \( S \).
This is a joint work with Helena Reis and Julio Rebelo.
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