**T. Aliashvili**

## Complex Points of Two-Dimensional Surfaces

**Abstract:**

We deal with complex points of two-dimensional surfaces. A short review of basic
results about complex points of smooth surfaces in $\mathbb{C}^2$ is presented
at the beginning. For algebraic surfaces, a formula is proved which expresses
the number of complex points as the local degree of an explicitly constructible
polynomial endomorphism.

**Keywords:**

Surface, grassmanian, complex point, Euler characteristic, mapping degree.

**MSC 2000:** 32S05, 55M25