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arXiv · 2507.13927

Restricted tangent bundle of rational curves on projective hypersurfaces

Lucas Mioranci
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Abstract

We determine all triples $(e,d,n)$ for which a general degree $d$ hypersurface $X\subset \mathbb{P}^n$ contains a degree $e$ rational curve $C$ with balanced restricted tangent bundle $T_X|_C$. In addition, we show how to compute explicit examples of hypersurfaces with balanced $T_X|_C$ when $C$ is a rational normal curve.

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Lucas Mioranci. 2025-07-18. Restricted tangent bundle of rational curves on projective hypersurfaces. https://arxiv.org/abs/2507.13927

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