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Special geodesics and atypical intersections

Year: 2026
Type: preprint
Abstract: 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.
Open Access status: green
OpenAlex ID: W7147279036
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