Construction of hyperbolic Horikawa surfaces
classification
🧮 math.AG
math.CV
keywords
hyperbolicbrodyconstructdoublehorikawasurfacesalongbidegree
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We construct a Brody hyperbolic Horikawa surface that is a double cover of $\mathbb{P}^2$ branched along a smooth curve of degree $10$. We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.
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