Real intersection theory (I)

2018/08/05 by B. Wang, Wang, B.
Economics, Econometrics and Finance · Mathematics · #Algebraic Geometry (math.AG) #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1808.01681

openalex publication_date 2018/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of Lebesgue currents. They are a special type of currents involving Lebesgue measure. We apply it to define the intersection of singular cycles, which provides the foundation to the real intersection theory.

Related

• Real intersection theory (II)
• The cone construction via intersection theory
• Density of positive closed currents, a theory of non-generic intersections
• Real rectifiable currents, holomorphic chains and algebraic cycles
• Lelong numbers of currents of full mass intersection