Analytic equivalence of geometric transitions
Abstract
In this paper analytic equivalence of geometric transition is defined in such a way that equivalence classes of geometric transitions turn out to be the arrows of the web. Then it seems natural and useful, both from the mathematical and physical point of view, look for privileged arrows' representatives, called canonical models, laying the foundations of an analytic classification of geometric transitions. At this purpose a numerical invariant, called bi--degree, summarizing the topological, geometric and physical changing properties of a geometric transition, is defined for a large class of geometric transitions.
0