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arxiv: math/9810031 · v1 · submitted 1998-10-06 · 🧮 math.AG

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

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keywords projectivebundlescotangentembeddingsvarietiesalmostdegreedimension
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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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