Second main theorem for Holomorphic curves intersecting a Fermat-type hypersurface in projective spacel
Year: 2025
Type: article
Abstract: Let $s, b, d$ be positive integers with $(s+bd)-(n+1)(s+bn)>0$. Let $R_{i}$ be homogeneous polynomials of degree $s$ and $Q_i$ be homogeneous polynomials of degree $b$. For an algebraically non-degenerate holomorphic curve $f\colon\mathbb{C}\rightarrow\mathbb{C} \mathbb{P}^n$, for a Fermat-type hypersurface of the form $\sum_{i=0}^{n} Q_i R_{i}^{d}=0$, we obtain a Second Main Theorem type estimate in which the counting function are truncated to level $n$.
Authors: Thi Xuan Mai Nguyen, Truc Lam Pham, Dang Khai Nguyen, Nhat Minh Tran
Institutions: Hue University, Hue University of Education
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Đại học Huế
OpenAlex ID: W4411353265