POINCARÉ FUNCTIONS OF POINT SETS IN PROJECTIVE SPACES A COMPUTER EXPERIMENT

Abstract

Let s and m(≥s+2)be two natural numbers, and X_s,m be the space of m-point sets in the (s - l)-dimensional complex projective space. We give algorithms to find the Poincaré functions of the spaceX_s,m.equipped with the natural projective structure, and determine them for small s amd m. The results for (s, m) = (3, 7), (3, 8), (3, 9), (4, 8) are new.