The algebra of symmetric tensors on smooth projective varieties
Algebraic Geometry
2024-03-25 v4
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.
Keywords
Cite
@article{arxiv.2309.12888,
title = {The algebra of symmetric tensors on smooth projective varieties},
author = {Arnaud Beauville and Jie Liu},
journal= {arXiv preprint arXiv:2309.12888},
year = {2024}
}
Comments
Minor changes. To appear in Science China Mathematics, volume in memory of Gang Xiao