Ropes on a line embedded in a Grassmannian variety.

  • Edoardo Ballico
  • Roberto Notari
  • Maria Luisa Spreafico
DOI: https://doi.org/10.5209/rev_REMA.2004.v17.n1.16799
Keywords: multiple line, Grassmannian variety, normal sheaf, emb eddings 2000 Mathematics Sub ject Classification, Primary 14C05, 14M15, Secondary 14H99

Abstract

Let L be a line contained in a Grassmannian variety G. A d-rope C G sup ported 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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Published
2004-06-04
How to Cite
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
Issue
Vol. 17 No. 1 (2004)
Section
Articles

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