Frank Sottile
Published 2000-12-11Version 1
We discuss a particular problem of enumerating rational curves on a Grassmannian from several perspectives, including systems theory, real enumerative geometry, and symbolic computation. We also present a new transversality result, showing this problem is enumerative in all characteristics. While it is well-known how this enumerative problem arose in mathematical physics and also its importance to the development of quantum cohomology, it is less known how it arose independently in mathematical systems theory. We describe this second story.
Comments: 33 pages, 1 .eps figure. To Appear in "Advances in Algebraic Geometry Motivated by Physics", ed. by Emma Previato
Journal: "Advances in Algebraic Geometry Motivated by Physics", edited by E. Previato, Contemp. Math., 276, AMS, 2001. 9-42
Morphisms between Grassmannians
On embeddings of the Grassmannian $Gr(2,m)$ into the Grassmannian $Gr(2,n)$
Morphisms between Grassmannians, II
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