1. Ropes on a line embedded in a Grassmannian variety
- Author
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Maria Luisa Spreafico, Edoardo Ballico, and Roberto Notari
- Subjects
Pure mathematics ,Degree (graph theory) ,General Mathematics ,Grassmannian ,Physics::Space Physics ,Line (geometry) ,Astrophysics::Solar and Stellar Astrophysics ,Vector bundle ,Variety (universal algebra) ,Quantitative Biology::Other ,Rope ,Mathematics - Abstract
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.
- Published
- 2004
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