T. Aliashvili

Complex Points of Two-Dimensional Surfaces

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.

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

MSC 2000: 32S05, 55M25