Generic ideals and Moreno-Soc{\'ı}as conjecture

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dc.creatorAguirre, Edith
dc.creatorJarrah, Abdul Salam
dc.creatorLaubenbacher, Reinhard
dc.creatorOrtiz-Navarro, Juan Ariel
dc.creatorTorrez, Rogelio
dc.date2001-04-04
dc.date.accessioned2026-07-07T04:40:59Z
dc.date.available2026-07-07T04:40:59Z
dc.descriptionLet $f_1, ..., f_n$ be homogeneous polynomials generating a generic ideal $I$ in the ring of polynomials in $n$ variables over an infinite field. Moreno-Socías conjectured that for the graded reverse lexicographic term ordering, the initial ideal ${\rm in}(I)$ is a weakly reverse lexicographic ideal. This paper contains a new proof of Moreno-Soc{\'ı}as' conjecture for the case $n=2$.
dc.description6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0104047
dc.identifierhttp://arxiv.org/abs/math/0104047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61229
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.titleGeneric ideals and Moreno-Soc{\'ı}as conjecture
dc.typetext

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