A generalized subspace theorem for closed subschemes in subgeneral position

Abstract

In this paper, we extend the recent theorem of G. Heier and A. Levin [HL21] on the generalization of Schmidt's subspace theorem and Cartan's Second Main Theorem in Nevanlinna theory to closed subschemes located in l-subgeneral position, using the generic linear combination technique due to Quang (see [Quang19]).