$d$-elliptic loci and the Torelli map
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914942568890368 |
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| author | Greer, François Lian, Carl |
| author_facet | Greer, François Lian, Carl |
| contents | We show that two natural cycle classes on the moduli space of compact type stable maps to a varying elliptic curve agree. The first is the virtual fundamental class from Gromov-Witten theory, and the second is the Torelli pullback of the special cycle on A_g of principally polarized abelian varieties admitting an elliptic isogeny factor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10826 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $d$-elliptic loci and the Torelli map Greer, François Lian, Carl Algebraic Geometry We show that two natural cycle classes on the moduli space of compact type stable maps to a varying elliptic curve agree. The first is the virtual fundamental class from Gromov-Witten theory, and the second is the Torelli pullback of the special cycle on A_g of principally polarized abelian varieties admitting an elliptic isogeny factor. |
| title | $d$-elliptic loci and the Torelli map |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.10826 |