Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract)

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dc.creatorRuffo, James
dc.creatorSivan, Yuval
dc.creatorSoprunova, Evgenia
dc.creatorSottile, Frank
dc.date2005-02-02
dc.date.accessioned2026-07-07T05:16:36Z
dc.date.available2026-07-07T05:16:36Z
dc.descriptionThe Shapiro conjecture in the real Schubert calculus fails to hold for flag manifolds, but in a very interesting way. In this extended abstract, we give a refinement of that conjecture for the flag manifold and present massive experimentation (over 12 GigaHertz-Years) that supports our refined conjecture. We also establish relationships between different cases of the conjecture and describe some new phenomena uncovered in this experimentation.
dc.descriptionExtended abstract, 12 pages, 4 .eps figures
dc.identifierhttps://arxiv.org/abs/math/0502040
dc.identifierhttp://arxiv.org/abs/math/0502040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74047
dc.subjectAlgebraic Geometry
dc.subject14N15, 14P99, 14Q99
dc.titleExperimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract)
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