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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.28465 |
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| _version_ | 1866915899787706368 |
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| author | Tamiozzo, Matteo |
| author_facet | Tamiozzo, Matteo |
| contents | Let $C$ be a complex irreducible plane curve that is not the vanishing locus of a modular polynomial. We show that $C$ contains finitely many real algebraic curves whose projection on each coordinate axis is a union of special geodesics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28465 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Special geodesics and atypical intersections Tamiozzo, Matteo Number Theory Let $C$ be a complex irreducible plane curve that is not the vanishing locus of a modular polynomial. We show that $C$ contains finitely many real algebraic curves whose projection on each coordinate axis is a union of special geodesics. |
| title | Special geodesics and atypical intersections |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.28465 |