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Restricted tangent bundle of rational curves on projective hypersurfaces

Published 18 Jul 2025 in math.AG | (2507.13927v1)

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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Authors (1)

  1. Lucas Mioranci 

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