On the loci of morphisms from \(\mathbb{P}^1\) to \(G(r,n)\) with fixed splitting type of the restricted universal sub-bundle or quotient bundle

DOI10.1016/j.jalgebra.2021.04.034zbMath1467.14085arXiv1908.09978OpenAlexW3162794074MaRDI QIDQ2042955

Sayanta Mandal

Publication date: 22 July 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09978

zbMATH Keywords

rational curvesvector bundlesGrassmanniansplitting type

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45) Vector bundles on curves and their moduli (14H60) Projective techniques in algebraic geometry (14N05)

Cites Work

• Normal bundles of rational curves in projective spaces
• On the varieties parametrizing rational space curves with fixed normal bundle
• On the normal bundles of smooth rational space curves
• On the variety of smooth rational space curves with given degree and normal bundle
• Normal bundles of rational curves in \(P^ 3\).
• Normal bundles of rational curves in projective space
• Normal bundles of rational curves on complete intersections
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