Torsion in Griffiths Groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914059410997248 |
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| author | Alexandrou, Theodosis |
| author_facet | Alexandrou, Theodosis |
| contents | We show that for any integer $n\geq2$ there is a smooth complex projective variety $X$ of dimension $5$ whose third Griffiths group $\text{Griff}^{3}(X)$ contains infinitely many torsion elements of order $n$. This generalises a recent theorem of Schreieder who proved the result for $n=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04083 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Torsion in Griffiths Groups Alexandrou, Theodosis Algebraic Geometry 14C25 (Primary) 14J29 We show that for any integer $n\geq2$ there is a smooth complex projective variety $X$ of dimension $5$ whose third Griffiths group $\text{Griff}^{3}(X)$ contains infinitely many torsion elements of order $n$. This generalises a recent theorem of Schreieder who proved the result for $n=2$. |
| title | Torsion in Griffiths Groups |
| topic | Algebraic Geometry 14C25 (Primary) 14J29 |
| url | https://arxiv.org/abs/2303.04083 |