Low-degree Rational curves on hypersurfaces in projective spaces and their degenerations

2019/06/10 by Ran, Ziv · 1 citation
#14m22 #14n25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.03747

Abstract

We study rational curves on general Fano hypersurfaces in projective space, mostly by degenerating the hypersurface along with its ambient projective space to reducible varieties. We prove results on existence of low-degree rational curves with balanced normal bundle, and reprove some results on irreducibility of spaces of rational curves of low degree.

Cited by

• Restricted tangent bundle of rational curves on projective hypersurfaces

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