Second main theorem for Holomorphic curves intersecting a Fermat-type hypersurface in projective spacel
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
- Nguyễn Duy Cường (ORCID: https://orcid.org/0000-0003-0737-2109)
- Nhat Minh Tran (ORCID: https://orcid.org/0009-0004-6515-055X)
- H. Nguyen (ORCID: https://orcid.org/0000-0002-4468-8965)
- The Hieu Pham (ORCID: https://orcid.org/0009-0007-1970-4330)
Institutions
- Hue University of Education (VN)
Publication Details
- Journal
- HUE UNIVERSITY JOURNAL OF SCIENCE NATURAL SCIENCE
- Published
- 2025-06-16
- DOI
- https://doi.org/10.26459/hueunijns.v134i1b.7551
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Đại học Huế