Acknowledgement
We would like to express our heartfelt appreciation to the reviewing experts for their valuable comments and suggestions on our paper. Additionally, we would like to acknowledge the financial support provided by the Natural Science Research Project for Colleges and Universities of Anhui Province (Nos. 2022AH050329, 2022AH050290).
References
- L. V. Ahlfors, The theory of meromorphic curves, Acta Soc. Sci. Fennicae. Nova Ser. A 3 (1941), no. 4, 31 pp.
- H. Cartan, Sur les zeros des combinaisons lineaires de p fonctions holomorphers donnees, Mathematica 7 (1985), 5-31.
- W. Chen and N. V. Thin, A general form of the second main theorem for meromorphic mappings from a p-parabolic manifold to a projective algebraic variety, Indian J. Pure Appl. Math. 52 (2021), no. 3, 847-860. https://doi.org/10.1007/s13226-021-00095-8
- P. Corvaja and U. M. Zannier, On a general Thue's equation, Amer. J. Math. 126 (2004), no. 5, 1033-1055. https://doi.org/10.1353/ajm.2004.0034
- G.-E. Dethloff and T. V. Tan, Holomorphic curves into algebraic varieties intersecting moving hypersurface targets, Acta Math. Vietnam. 45 (2020), no. 1, 291-308. https://doi.org/10.1007/s40306-019-00336-3
- Q. Han, A defect relation for meromorphic maps on generalized p-parabolic manifolds intersecting hypersurfaces in complex projective algebraic varieties, Proc. Edinb. Math. Soc. (2) 56 (2013), no. 2, 551-574. https://doi.org/10.1017/S0013091512000284
- Q. Ji, Q. Yan, and G. Yu, Holomorphic curves into algebraic varieties intersecting divisors in subgeneral position, Math. Ann. 373 (2019), no. 3-4, 1457-1483. https://doi.org/10.1007/s00208-018-1661-4
- S. D. Quang, Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces, Trans. Amer. Math. Soc. 371 (2019), no. 4, 2431-2453. https://doi.org/10.1090/tra
- S. D. Quang and D. P. An, Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties, Acta Math. Vietnam. 42 (2017), no. 3, 455-470. https://doi.org/10.1007/s40306-016-0196-6
- M. Ru, A defect relation for holomorphic curves intersecting hypersurfaces, Amer. J. Math. 126 (2004), no. 1, 215-226. https://doi.org/10.1353/ajm.2004.0006
- M. Ru, Holomorphic curves into algebraic varieties, Ann. of Math. (2) 169 (2009), no. 1, 255-267. https://doi.org/10.4007/annals.2009.169.255
- M. Ru, Some generalizations of the second main theorem intersecting hypersurfaces, Methods Appl. Anal. 21 (2014), no. 4, 503-526. https://doi.org/10.4310/MAA.2014.v21.n4.a6
- M. Ru and J. T.-Y. Wang, A second main theorem on parabolic manifolds, Asian J. Math. 9 (2005), no. 3, 349-371. https://doi.org/10.4310/AJM.2005.v9.n3.a4
- L. Shi, Degenerated second main theorem for holomorphic curves into algebraic varieties, Internat. J. Math. 31 (2020), no. 6, 2050042, 18 pp. https://doi.org/10.1142/S0129167X20500421
- B. Shiffman, On holomorphic curves and meromorphic maps in projective space, Indiana Univ. Math. J. 28 (1979), no. 4, 627-641. https://doi.org/10.1512/iumj.1979.28.28044
- M. Sombra, Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz, J. Pure Appl. Algebra 117/118 (1997), 565-599. https://doi.org/10.1016/S0022-4049(97)00028-5
- W. Stoll, The Ahlfors-Weyl theory of meromorphic maps on parabolic manifolds, in Value distribution theory (Joensuu, 1981), 101-219, Lecture Notes in Math., 981, Springer, Berlin, 1983. https://doi.org/10.1007/BFb0066385
- P.-M. Wong and W. Stoll, Second main theorem of Nevanlinna theory for nonequidi-mensional meromorphic maps, Amer. J. Math. 116 (1994), no. 5, 1031-1071. https://doi.org/10.2307/2374940
- P.-M. Wong and P. P. W. Wong, The second main theorem on generalized parabolic manifolds, in Some topics on value distribution and differentiability in complex and p-adic analysis, 3-41, Math. Monogr. Ser., 11, Sci. Press Beijing, Beijing, 2008.
- L. Xie and T.-B. Cao, Second main theorem for meromorphic maps into algebraic varieties intersecting moving hypersurfaces targets, Chinese Ann. Math. Ser. B 42 (2021), no. 5, 753-776. https://doi.org/10.1007/s11401-021-0289-y