Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908970554228736 |
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| author | Sarkar, Supravat |
| author_facet | Sarkar, Supravat |
| contents | We describe the indecomposable components of the tangent bundle of the punctual Hilbert scheme of a smooth projective surface. As an application, we prove a recent conjecture about classification of products of punctual Hilbert schemes of smooth projective surfaces. We also determine when two products of symmetric powers of a smooth variety can be isomorphic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15098 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties Sarkar, Supravat Algebraic Geometry 14F06, 14C05 We describe the indecomposable components of the tangent bundle of the punctual Hilbert scheme of a smooth projective surface. As an application, we prove a recent conjecture about classification of products of punctual Hilbert schemes of smooth projective surfaces. We also determine when two products of symmetric powers of a smooth variety can be isomorphic. |
| title | Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties |
| topic | Algebraic Geometry 14F06, 14C05 |
| url | https://arxiv.org/abs/2604.15098 |