Toric ideals, real toric varieties, and the algebraic moment map

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dc.creatorSottile, Frank
dc.date2002-12-03
dc.date2008-04-18
dc.date.accessioned2026-07-07T09:33:14Z
dc.date.available2026-07-07T09:33:14Z
dc.descriptionThis is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties and the algebraic moment map. In particular, we explain the relation between linear precision and the algebraic moment map. This builds on the introduction to toric varieties by David Cox: What is a Toric Variety? at http://www.cs.amherst.edu/~dac/lectures/tutorial.ps
dc.descriptionCorrected the discussion in the published version about the moment map, and changed the title from "Toric ideals, real toric varieties, and the moment map". This should be the definitive version
dc.identifierhttps://arxiv.org/abs/math/0212044
dc.identifierhttp://arxiv.org/abs/math/0212044
dc.identifierin Topics in Algebraic Geometry and Geometric Modeling, Contemp. Math., 334, 2003., pp.225-240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159061
dc.subjectAlgebraic Geometry
dc.subjectComputational Geometry
dc.subject14M25, 14Q99, 13P10, 68U05, 68U07; ACM I.3.5
dc.titleToric ideals, real toric varieties, and the algebraic moment map
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