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arxiv 2404.08102 v1 pith:5VDFKSEO submitted 2024-04-11 math.AG

Normal bundles of rational curves in Grassmannians

Izzet Coskun , Eric Larson , Isabel Vogt This is my paper
classification math.AG
keywords rationalnormalbundlebundlescurvecurvesgeneralgrassmannians
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In projective space over fields of characteristic different from 2, the normal bundle of a general nondegenerate rational curve is balanced. The corresponding statement for rational curves in other Grassmannians can fail. Nevertheless, we prove that the normal bundle of a general rational curve in a Grassmannian decomposes into a direct sum of line bundles whose degrees are at most 2 apart.

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  1. Interpolation for rational curves with secants

    math.AG 2026-07 unverdicted novelty 5.0

    Determines the maximum number of general points through which a rational curve of degree d in P^r passes subject to a secancy condition along a linear space, via normal and restricted tangent bundles in the blowup Bl_...