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On special rational curves in Grassmannians

Authors:	Tomasz Maszczyk

Institution:	(1) Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-956 Warszawa, Poland;(2) Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

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. The author was partially supported by KBN grants 1P03A 036 26 and 115/E-343/SPB/6.PR UE/DIE 50/2005-2008. Received: 10 September 2005

Keywords:	Primary 14H45 14M15 Secondary 34L30 14G35 16D90
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