Schmidt's subspace theorem for moving hypersurface targets
Number Theory
2017-11-28 v1
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.
Keywords
Cite
@article{arxiv.1702.08215,
title = {Schmidt's subspace theorem for moving hypersurface targets},
author = {Nguyen Thanh Son and Tran Van Tan and Nguyen Van Thin},
journal= {arXiv preprint arXiv:1702.08215},
year = {2017}
}
Comments
27 pages. arXiv admin note: text overlap with arXiv:1503.08801