Explicit Enumerative Geometry for the Real Grassmannian of Lines in Projective Space

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dc.creatorSottile, Frank
dc.date1995-10-31
dc.date.accessioned2026-07-07T09:06:38Z
dc.date.available2026-07-07T09:06:38Z
dc.descriptionWe extend the classical Schubert calculus of enumerative geometry for the Grassmann variety of lines in projective space from the complex realm to the real. Specifically, given any collection of Schubert conditions on lines in projective space which generically determine a finite number of lines, we show there exist real generic conditions determining the expected number of real lines. Our main tool is an explicit description of rational equivalences which also constitutes a novel determination of the Chow rings of these Grassmann varieties.
dc.descriptionLaTeX 2e, 18 pages with three figures
dc.identifierhttps://arxiv.org/abs/alg-geom/9510017
dc.identifierhttp://arxiv.org/abs/alg-geom/9510017
dc.identifierDuke Math. J., 87 (1997) 59-85
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150081
dc.subjectAlgebraic Geometry
dc.subject14M15 (Primary) 14N10 (Secondary)
dc.titleExplicit Enumerative Geometry for the Real Grassmannian of Lines in Projective Space
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