Jacobian Ideals of Trilinear Forms: An Application of 1-Genericity

Guerrieri, Anna; Swanson, Irena

doi:10.1006/jabr.1999.8196

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Primary Decomposition Of the Jacobian Ideal Of A Trilinear Form2

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“…Proof: By [GS,Theorem 5.2], the intersection of all the minimal components (and all the minimal primes) is J A + (Y )(Z). It now suffices to prove that the intersection of the displayed ideal with the minimal components is J A :…”

Section: Primary Decomposition Of the Jacobian Ideal Of A Trilinear Formmentioning

confidence: 99%

“…where the second to the last inclusion holds by multihomogeneity and the last inclusion holds by Propositions 4.2, 4.3, and [GS,Theorem 5.2]. Proof: Without loss of generality we may assume that M is in the normalized form so that in the first two rows all the coefficients are 1, and also the coefficients in the first and the last columns are all 1.…”

Section: Primary Decomposition Of the Jacobian Ideal Of A Trilinear Formmentioning

confidence: 99%

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