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Archiv der Mathematik

, Volume 88, Issue 4, pp 323–332 | Cite as

On special rational curves in Grassmannians

  • Tomasz Maszczyk
Article

Abstract.

Numerical and geometric characterizations, among all morphisms \({\mathbb{P}^{1} \rightarrow \mathbb{G}(d, 2d)}\) , of those which are \({{\rm GL}_{2d}(\mathbb{C})}\) -equivalent to the canonical morphism induced by the Morita equivalence \({\mathbb{C}^{d} \otimes_{\mathbb{C}}}\) –, are presented.

Mathematics Subject Classification (2000).

Primary 14H45, 14M15 Secondary 34L30, 14G35, 16D90 

Keywords.

Grassmannian rational curve Morita equivalence 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  1. 1.Institute of MathematicsPolish Academy of SciencesWarszawaPoland
  2. 2.Institute of MathematicsUniversity of WarsawWarszawaPoland

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