A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9810031,
title = {A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles},
author = {Lawrence Ein and Bo Ilic and Robert Lazarsfeld},
journal= {arXiv preprint arXiv:math/9810031},
year = {2007}
}