Intersection theory and separation exponent in complex analytic geometry

Ewa Cygan
1998 Annales Polonici Mathematici  
We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Lojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets. 1991 Mathematics Subject Classification: 32B10, 14C17. Key words and phrases: multiplicity of proper and improper intersection, exponent of regular separation.
doi:10.4064/ap-69-3-287-299 fatcat:ut6h4gg75bg6zjm3pdv6dxxp6i