Notes on the roots of Steiner polynomials

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dc.creatorHenk, Martin
dc.creatorCifre, María A. Hernández
dc.date2007-03-13
dc.date.accessioned2026-07-07T07:51:42Z
dc.date.available2026-07-07T07:51:42Z
dc.descriptionWe study the location and the size of the roots of Steiner polynomials of convex bodies in the Minkowski relative geometry. Based on a problem of Teissier on the intersection numbers of Cartier divisors of compact algebraic varieties it was conjectured that these roots have certain geometric properties related to the in- and circumradius of the convex body. We show that the roots of 1-tangential bodies fulfill the conjecture, but we also present convex bodies violating each of the conjectured properties.
dc.identifierhttps://arxiv.org/abs/math/0703373
dc.identifierhttp://arxiv.org/abs/math/0703373
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125609
dc.subjectMetric Geometry
dc.subject52A20 (Primary); 52A39, 30C15 (Secondary)
dc.titleNotes on the roots of Steiner polynomials
dc.typetext

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