Restricted tangent bundle of rational curves on projective hypersurfaces

Authors:  LUCAS MIORANCI

Abstract

We determine all triples (e, d, n) for which a general degree d hypersurface X ⊂ P n contains a degree e rational curve C with balanced restricted tangent bundle TX|C . In addition, we show how to compute explicit examples of hypersurfaces with balanced TX|C when C is a rational normal curve.

Details

Title:   Restricted tangent bundle of rational curves on projective hypersurfaces
Subjects:   Mathematics
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Submission History

From:   Ankita Sinha Ray [View Profile]
Date of Publication:   July 21, 2025, 1:06 p.m. UTC

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