2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110344Improved local and global versions of the effective Nullstellensatz for ideal sheaves on non-singular complex varieties are obtained, based on a new invariant motivated by the notion of finite type from the theory of several complex variables. Two closely related curve selection theorems for curves with maximal adjusted tangency orders to a given ideal sheaf are established along the way, using normalized blow-ups and integral closures.12 pagesAlgebraic GeometryComplex Variables14Q20, 14C17, 32S10, 32T25text