On the Schmidt Subspace Theorem

Abstract

We study extensions and generalizations of the Schmidt Subspace Theorem in various settings. In particular, we prove results for algebraic points of bounded degree, giving a sharp version of Schmidt's theorem for quadratic points in the projective plane and a more general result that resolves a conjecture of Schlickewei.

Cited by in corpus (4)

• A generalization of the subspace theorem for higher degree polynomials in subgeneral position
• Schmidt's subspace theorem for moving hypersurface targets
• On arithmetic inequalities for points of bounded degree
• Greatest common divisors of integral points of numerically equivalent divisors