A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles

Details A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles

1998-10-06

arxiv.org/abs/math/9810031v1

Mathematics

Algebraic Geometry

Scientific paper

We prove an elementary but somewhat unexpected result about projective
embeddings of smooth varieties X whose cotangent bundles are numerically
effective. Specifically, we show that the degree of X in any projective
embedding must grow (almost) exponentially in the dimension of X.

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