A generalized defect relation for holomorphic maps into algebraic varieties
Volume 132 / 2024
Annales Polonici Mathematici 132 (2024), 255-279
MSC: Primary 32H30; Secondary 32A22, 11J97
DOI: 10.4064/ap230106-15-4
Published online: 7 June 2024
Abstract
We establish a generalized defect relation for holomorphic maps into algebraic varieties intersecting arbitrary families of linearly equivalent divisors. Based on this, we also give an improvement of many previous second main theorems for holomorphic maps intersecting divisors in subgeneral position. Moreover, by the relationship between Diophantine approximation and Nevanlinna theory, the corresponding Schmidt subspace theorems are also given.
