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

Lawrence Ein; Bo Ilic; Robert Lazarsfeld

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

Lawrence Ein·Bo Ilic·Robert Lazarsfeld

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Abstract

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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Lawrence Ein, Bo Ilic, Robert Lazarsfeld. 1998-10-06. A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles. https://arxiv.org/abs/math/9810031

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