**G. Khimshiashvili**

## On local invariants of totally real surfaces

**abstract:**

A class of totally real surface singularities is introduced
for which one can define local topological invariants. The main result yields
an algebraic estimate for the self-intersection index of a totally real germ.
It is derived from an algebraic upper estimate for the index of a
quasi-homogeneous vector field which generalizes the previously known
estimates in terms of the so-called Petrovsky numbers