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arXiv · 2309.12888

The algebra of symmetric tensors on smooth projective varieties

Arnaud Beauville·Jie Liu
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Abstract

We discuss in this note the algebra H^0(X, Sym*TX) for a smooth complex projective variety X . We compute it in some simple examples, and give a sharp bound on its Krull dimension. Then we propose a conjectural characterization of non-uniruled projective manifolds with pseudo-effective tangent bundle.

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Arnaud Beauville, Jie Liu. 2023-09-22. The algebra of symmetric tensors on smooth projective varieties. https://arxiv.org/abs/2309.12888

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