Schmidt's subspace theorem for moving hypersurface targets

Abstract

It was discovered that there is a formal analogy between Nevanlinna theory and Diophantine approximation. Via Vojta's dictionary, the Second Main Theorem in Nevanlinna theory corresponds to Schmidt's Subspace Theorem in Diophantine approximation. Recently, Cherry, Dethloff, and Tan (arXiv:1503.08801v2 [math.CV]) obtained a Second Main Theorem for moving hypersurfaces intersecting projective varieites. In this paper, we shall give the counterpart of their Second Main Theorem in Diophantine approximation.

27 pages. arXiv admin note: text overlap with arXiv:1503.08801

Cited by in corpus (2)

• The degenerate Schmidt's subspace theorem for moving hypersurface targets
• Schmidt's subspace theorem for moving hypersurface targets in subgeneral position with index in algebraic variety