On the smoothability problem with rational coefficients
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913555488440320 |
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| author | Benoist, Olivier Voisin, Claire |
| author_facet | Benoist, Olivier Voisin, Claire |
| contents | We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to this problem would be incompatible with the validity of the Hartshorne conjecture on complete intersections in projective space. We also solve unconditionally a symplectic variant of this problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12620 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the smoothability problem with rational coefficients Benoist, Olivier Voisin, Claire Algebraic Geometry 14C25, 14J60 We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to this problem would be incompatible with the validity of the Hartshorne conjecture on complete intersections in projective space. We also solve unconditionally a symplectic variant of this problem. |
| title | On the smoothability problem with rational coefficients |
| topic | Algebraic Geometry 14C25, 14J60 |
| url | https://arxiv.org/abs/2405.12620 |