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

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

1994-10-21

arxiv.org/abs/alg-geom/9410023v1

Mathematics

Algebraic Geometry

5 pages, AmS-TeX, N/A

Scientific paper

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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