发表机构
Hanoi National University of Education（河内国家教育大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文为代数非退化亚纯映射与次一般位置超曲面族建立了带截断计数函数的第二基本定理，得到更优的总亏量上界，截断级别独立于超曲面数量，且仅需弱贝祖性质。
AI 中文摘要
我们建立了一个带有截断计数函数的第二基本定理，适用于代数非退化的亚纯映射到射影簇以及处于次一般位置的一族超曲面。由我们的结果得到的总亏量上界优于先前结果。此外，在我们的结果中，计数函数的截断级别被显式估计，且独立于超曲面的数量。特别地，我们不需要像早期一些研究中所强加的那样，假设超曲面族必须满足贝祖性质，而只需一个弱的贝祖性质。
英文摘要
We establish a second main theorem with truncated counting functions for algebraically nondegenerate meromorphic mappings into a projective variety and a family of hypersurfaces in subgeneral position. The above bound of the total defect obtained from our result is better than that of the previous results. Moreover, in our result, the truncation level of the counting functions is estimated explicitly and independently of the number of hypersurfaces. Especially, we do not need the assumption that the family of hypersurfaces must satisfy the Bezout properties as imposed in some earlier studies, but only a weak Bezout property.
Journal refVietnam Journal of Mathematics, 2026
