Complex sentence: The dimension of is equal to the Krull dimension minus one of, and the degree of is the number of points of intersection, counted with multiplicities, of with the intersection of d hyperplanes in general position.
Split into simpler sentences: The dimension of is equal to the Krull dimension minus one of. The degree of is the number of points of intersection, counted with multiplicity, of with the intersection of d hyperplanes in general position.