The algebra of symmetric tensors on smooth projective varieties
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917619794182144 |
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| author | Beauville, Arnaud Liu, Jie |
| author_facet | Beauville, Arnaud Liu, Jie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12888 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The algebra of symmetric tensors on smooth projective varieties Beauville, Arnaud Liu, Jie Algebraic Geometry 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. |
| title | The algebra of symmetric tensors on smooth projective varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.12888 |