Positive metric currents and holomorphic chains in Hilbert spaces

2012/07/22 by Mongodi, Samuele
#32C30 #32V25 #46G20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1207.5244

Abstract

We present some results concerning currents of integration on finite-dimensional analytic spaces in Hilbert spaces, using the setting of metric currents. In particular, we obtain the characterization of such currents as positive closed (k,k)-rectifiable currents and solve the boundary problem for holomorphic chains.

Related

• Application of metric currents to complex analysis
• Real rectifiable currents, holomorphic chains and algebraic cycles
• Intersection of Positive Closed Currents
• The pointed flat compactness theorem for locally integral currents
• Decomposition of integral metric currents