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arXiv · 1702.08215

Schmidt's subspace theorem for moving hypersurface targets

Nguyen Thanh Son·Tran Van Tan·Nguyen Van Thin
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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.

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Nguyen Thanh Son, Tran Van Tan, Nguyen Van Thin. 2017-02-27. Schmidt's subspace theorem for moving hypersurface targets. https://doi.org/10.1016/j.jnt.2017.10.008

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