On Holomorphic Curves in Semi-Abelian Varieties

1996/04/10 by Junjirō Noguchi, Noguchi, Junjiro · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/9604223

openalex publication_date 1996/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The algebraic degeneracy of holomorphic curves in a semi-Abelian variety omitting a divisor is proved (Lang's conjecture generalized to semi-Abelian varieties) by making use of the \it jet-projection method and the logarithmic Wronskian jet differential after Siu-Yeung. We also prove a structure theorem for the locus which contains all possible image of non-constant entire holomorphic curves in a semi-Abelian variety omitting a divisor.

Cited by

• Campana's orbifold conjecture for numerically equivalent divisors

Related

• Degeneracy of Holomorphic Curves into Algebraic Varieties
• The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties II
• Algebraic degeneracy of holomorphic curves
• Degeneracy loci in the universal family of Abelian varieties
• Degeneracy loci in the universal family of abelian varieties