Schmidt's subspace theorem for arbitrary families of moving hypersurface targets (Q6556223)

The main result of this paper is a Schmidt's Subspace Theorem for moving hypersurfaces, which is an extension and improvement of the results of \textit{Nguyen Thanh Son} et al. [J. Number Theory 186, 346--369 (2018; Zbl 1446.11141)] and \textit{Si Duc Quang} [Int. J. Number Theory 14, No. 1, 103--121 (2018; Zbl 1428.11135); Int. J. Number Theory 15, No. 4, 775--788 (2019; Zbl 1452.11083)]. The proof also uses methods from [\textit{D. Q. Si}, J. Geom. Anal. 32, No. 2, Paper No. 52, 29 p. (2022; Zbl 1487.32088)]. Using arguments of [\textit{Si Duc Quang}, Pac. J. Math. 318, No. 1, 153--188 (2022; Zbl 1501.11073)], the author deduces a corollary for hyperplanes in \(m\)-subgeneral positions, involving an index arising from Nevanlinna theory [\textit{Q. Ji} et al., Math. Ann. 373, No. 3--4, 1457--1483 (2019; Zbl 1444.32017)].