An Effective Łojasiewicz Inequality for Real Polynomials

dc.creatorKollár, János
dc.date1999-04-28
dc.date.accessioned2026-07-07T05:28:52Z
dc.date.available2026-07-07T05:28:52Z
dc.descriptionLet H be the supremum of finitely many real polynomials of degree d and assume that H has a strict local minimum at 0. We prove a Łojasiewicz-type inequality $H(x_1,...,x_n) > ||(x_1,...,x_n)||^s$ where s depends only on d and n. This implies a similar inequality where $(x_1,...,x_n)$ runs through the points of a semi-algebraic set.
dc.descriptionLATEX2e, 9 pages
dc.identifierhttps://arxiv.org/abs/math/9904161
dc.identifierhttp://arxiv.org/abs/math/9904161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78421
dc.subjectAlgebraic Geometry
dc.titleAn Effective Łojasiewicz Inequality for Real Polynomials
dc.typetext

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