Singular rational curves on Enriques surfaces

2025/01/10 by Simone Pesatori, Pesatori, Simone
Engineering · Computer Science · Mathematics · #Advanced Numerical Analysis Techniques #Polynomial and algebraic computation #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2501.06157

Abstract

We show that for every k∈ℤ₊, with k≡₄ 1, the very general Enriques surface admits rational curves of arithmetic genus k with ϕ-invariant equal to 2.

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