Enumeration of Elliptic Curves via Elliptic Gromov-Witten Invariants of Four Dimensional Projective Fano Hypersurfaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910051205120000 |
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| author | Jinzenji, Masao Kuwata, Ken |
| author_facet | Jinzenji, Masao Kuwata, Ken |
| contents | In this paper, we propose a conjecture that clarifies the relationship between the number of degree d elliptic curves in complex four-dimensional projective Fano hypersurfaces and their degree d elliptic Gromov-Witten (GW) invariants. The elliptic GW invariants are computed using the elliptic virtual structure constants proposed in our previous works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enumeration of Elliptic Curves via Elliptic Gromov-Witten Invariants of Four Dimensional Projective Fano Hypersurfaces Jinzenji, Masao Kuwata, Ken Algebraic Geometry High Energy Physics - Theory 14N10 In this paper, we propose a conjecture that clarifies the relationship between the number of degree d elliptic curves in complex four-dimensional projective Fano hypersurfaces and their degree d elliptic Gromov-Witten (GW) invariants. The elliptic GW invariants are computed using the elliptic virtual structure constants proposed in our previous works. |
| title | Enumeration of Elliptic Curves via Elliptic Gromov-Witten Invariants of Four Dimensional Projective Fano Hypersurfaces |
| topic | Algebraic Geometry High Energy Physics - Theory 14N10 |
| url | https://arxiv.org/abs/2509.24357 |