Ideals of Adjacent Minors

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dc.creatorHosten, Serkan
dc.creatorSullivant, Seth
dc.date2003-06-23
dc.date.accessioned2026-07-07T04:59:06Z
dc.date.available2026-07-07T04:59:06Z
dc.descriptionWe give a description of the minimal primes of the ideal generated by the 2 x 2 adjacent minors of a generic matrix. We also compute the complete prime decomposition of the ideal of adjacent m x m minors of an m x n generic matrix when the characteristic of the ground field is zero. A key intermediate result is the proof that the ideals which appear as minimal primes are, in fact, prime ideals. This introduces a large new class of mixed determinantal ideals that are prime.
dc.identifierhttps://arxiv.org/abs/math/0306318
dc.identifierhttp://arxiv.org/abs/math/0306318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67850
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleIdeals of Adjacent Minors
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