Relative Gromov-Witten and maximal contact conics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909847857922048 |
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| author | Muratore, Giosuè |
| author_facet | Muratore, Giosuè |
| contents | We discuss some properties of the relative Gromov--Witten invariants counting rational curves with maximal contact order at one point. We compute the number of Cayley's sextactic conics to any smooth plane curve $Y$. In particular, we compute the contribution, from double covers of inflectional lines, to a certain degree $2$ relative Gromov--Witten invariant relative to $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relative Gromov-Witten and maximal contact conics Muratore, Giosuè Algebraic Geometry Primary 14N35, 14N15, 14N10, Secondary 14H50 We discuss some properties of the relative Gromov--Witten invariants counting rational curves with maximal contact order at one point. We compute the number of Cayley's sextactic conics to any smooth plane curve $Y$. In particular, we compute the contribution, from double covers of inflectional lines, to a certain degree $2$ relative Gromov--Witten invariant relative to $Y$. |
| title | Relative Gromov-Witten and maximal contact conics |
| topic | Algebraic Geometry Primary 14N35, 14N15, 14N10, Secondary 14H50 |
| url | https://arxiv.org/abs/2401.08487 |