Keywords
Nevanlinna theory,
Holomorphic curves
Second Main Theorem
Fermat type hypersurfaces
Holomorphic curves
Second Main Theorem
Fermat type hypersurfaces
How to Cite
1.
Nguyen TXM, Pham TL, Nguyen DK, Tran NM. Second main theorem for Holomorphic curves intersecting a Fermat-type hypersurface in projective spacel. hueuni-jns [Internet]. 2025Jun.16 [cited 2025Jun.17];134(1B):13-8. Available from: https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/7551
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 $n$.
References
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