Non-tautological cycles on moduli spaces of smooth pointed curves
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909337310461952 |
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| author | Faro, Dario Tamborini, Carolina |
| author_facet | Faro, Dario Tamborini, Carolina |
| contents | In recent work by Arena, Canning, Clader, Haburcak, Li, Mok, and Tamborini it was proven that for infinitely many values of $g$ and $n$, there exist non-tautological algebraic cohomology classes on the moduli space $\mathcal{M}_{g,n}$ of smooth genus $g$, $n$-pointed curves. Here we show how a generalization of their technique allows to cover most of the remaining cases, proving the existence of non-tautological algebraic cohomology classes on the moduli space $\mathcal{M}_{g,n}$ for all but finitely many values of $g$ and $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-tautological cycles on moduli spaces of smooth pointed curves Faro, Dario Tamborini, Carolina Algebraic Geometry 14H10, 14C15 In recent work by Arena, Canning, Clader, Haburcak, Li, Mok, and Tamborini it was proven that for infinitely many values of $g$ and $n$, there exist non-tautological algebraic cohomology classes on the moduli space $\mathcal{M}_{g,n}$ of smooth genus $g$, $n$-pointed curves. Here we show how a generalization of their technique allows to cover most of the remaining cases, proving the existence of non-tautological algebraic cohomology classes on the moduli space $\mathcal{M}_{g,n}$ for all but finitely many values of $g$ and $n$. |
| title | Non-tautological cycles on moduli spaces of smooth pointed curves |
| topic | Algebraic Geometry 14H10, 14C15 |
| url | https://arxiv.org/abs/2410.04400 |