Ropes on a line embedded in a Grassmannian variety.

  • Edoardo Ballico
  • Roberto Notari
  • Maria Luisa Spreafico
Palabras clave: multiple line, Grassmannian variety, normal sheaf, embeddings,

Resumen

Let L be a line contained in a Grassmannian variety G. A d-rope C _ G supported on L is a locally Cohen-Macaulay curve of degree d with Cred = L and (IL,G)2 _ IC,G. We characterize the d-ropes C supported on L and embedded in G. In some cases we describe also the vector bundles on such a rope C. Finally, we describe the parameter spaces for ropes embedded in G.

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Publicado
2004-06-04
Cómo citar
Ballico E., Notari R. y Spreafico M. L. (2004). Ropes on a line embedded in a Grassmannian variety. Revista Matemática Complutense, 17(1), 181-193. https://doi.org/10.5209/rev_REMA.2004.v17.n1.16799
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Artículos