LOCAL PARAMETRIZATION OF AN ALGEBRAIC VARIETY NEAR SOME ITS SINGULARITIES

Annotatsiya

In theoretical physics, when studying invariant Einstein metrics, there was a need to study an algebraic variety, which is described by an equation of the twelfth degree in three variables. 4 singular points and 2 curves of singular points of the variety were found early. Using algorithms of power geometry and computer algebra programs, local parametrizations of a manifold near 2 its singular points of the third order and near one curve of singular points are obtained.