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Algebraic hyperbolicity of surfaces in Fano threefolds with Picard number one

Algebraic Geometry 2025-02-11 v1

Abstract

In this paper, we study the algebraic hyperbolicity of very general surfaces in general Fano threefolds with Picard number one. We completely classify the algebraically hyperbolicity of those surfaces, except for surfaces in weighted hypersurfaces.

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Cite

@article{arxiv.2502.06365,
  title  = {Algebraic hyperbolicity of surfaces in Fano threefolds with Picard number one},
  author = {Haesong Seo},
  journal= {arXiv preprint arXiv:2502.06365},
  year   = {2025}
}

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25 pages