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Singular rational curves on Enriques surfaces

Published 10 Jan 2025 in math.AG | (2501.06157v1)

Abstract: We show that for every $k\in\mathbb{Z}_+$, with $k\equiv_4 1$, the very general Enriques surface admits rational curves of arithmetic genus $k$ with $\phi$-invariant equal to 2.

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