Intersection of positive closed currents

초록

In this talk, we discuss the intersection of positive closed currents on domains. As tools, we use pluripotential theory and the theory of tangent currents. Tangent currents may be understood as a generalization of Harvey’s characterization of the Lelong number. King’s residue formula is used to relate tangent currents and complex Monge-Ampere type currents. Then, we introduce reasonable sufficient conditions for the definition of the wedge product of positive closed currents. Also, we will introduce an analytic formulation in the selfintersecting case.