Rational curves on Grassmannians: systems theory, reality, and transversality

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dc.creatorSottile, Frank
dc.date2000-12-11
dc.date.accessioned2026-07-07T04:39:09Z
dc.date.available2026-07-07T04:39:09Z
dc.descriptionWe 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.
dc.description33 pages, 1 .eps figure. To Appear in "Advances in Algebraic Geometry Motivated by Physics", ed. by Emma Previato
dc.identifierhttps://arxiv.org/abs/math/0012079
dc.identifierhttp://arxiv.org/abs/math/0012079
dc.identifier"Advances in Algebraic Geometry Motivated by Physics", edited by E. Previato, Contemp. Math., 276, AMS, 2001. 9-42
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60546
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectOptimization and Control
dc.subject13P10, 14-02, 14M15, 14N15, 14N35, 14P99, 65H20, 93B55
dc.titleRational curves on Grassmannians: systems theory, reality, and transversality
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