Tangencies between holomorphic maps and holomorphic laminations

TL;DR

This paper proves that in a holomorphic lamination of codimension one, the leaves that are not transversal to a germ of a holomorphic map form a discrete set, highlighting a specific geometric property.

Contribution

It establishes a new discreteness result for leaves non-transversal to holomorphic maps within holomorphic laminations.

Findings

Non-transversal leaves form a discrete set

Transversality is generic among leaves

Provides geometric insight into holomorphic laminations

Abstract

We prove that the set of leaves of a holomorphic lamination of codimension one that are non-transversal to a germ of a holomorphic map is discrete.