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Remarks on rational points of varieties whose cotangent bundles are generated by global sections

Atsushi Moriwaki
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Abstract

In this short note, we will gives several remarks on rational points of varieties whose cotangent bundles are generated by global sections. For example, we will show that if the sheaf of differentials of a projective variety X over a number field k is ample and generated by global sections, then the set of k-rational points of X is finite.

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BibTeXRIS

Atsushi Moriwaki. 1994-10-21. Remarks on rational points of varieties whose cotangent bundles are generated by global sections. https://arxiv.org/abs/alg-geom/9410023

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