Zilber-Pink in $Y(1)^n$: Beyond multiplicative degeneration
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918346209886208 |
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| author | Papas, Georgios |
| author_facet | Papas, Georgios |
| contents | We establish Large Galois orbits conjectures for points of unlikely intersections of curves in $Y(1)^n$, upon assumptions on the intersection of such curves with the boundary $X(1)^n\backslash Y(1)^n$, in the Zilber-Pink setting. As a corollary, building on work of Habegger-Pila and Daw-Orr, we obtain new cases of the Zilber-Pink conjecture for curves in $Y(1)^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Zilber-Pink in $Y(1)^n$: Beyond multiplicative degeneration Papas, Georgios Number Theory Algebraic Geometry We establish Large Galois orbits conjectures for points of unlikely intersections of curves in $Y(1)^n$, upon assumptions on the intersection of such curves with the boundary $X(1)^n\backslash Y(1)^n$, in the Zilber-Pink setting. As a corollary, building on work of Habegger-Pila and Daw-Orr, we obtain new cases of the Zilber-Pink conjecture for curves in $Y(1)^n$. |
| title | Zilber-Pink in $Y(1)^n$: Beyond multiplicative degeneration |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2402.09487 |