Heights of Ideals of Minors

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The classical "generalized principal ideal theorems" of Macaulay, Eagon-Northcott, and others give sharp bounds on the heights of determinantal ideals in arbitrary rings. But in regular local rings (or graded polynomial rings) these are far from sharp, and various questions about vector bundles, as well as other questions in commutative algebra, amount to asking what the real bounds are. We give partial answers, and more generally we prove new height bounds in local rings of given embedding codimension. Our theorems extend and sharpen results of Faltings and Bruns.
21 pages, in AMS TeX

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Commutative Algebra, Algebraic Geometry, 13C40, 13C15, 14M12

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http://salesiana.dossiersoluciones.com/handle/123456789/64953

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209184
 http://arxiv.org/abs/math/0209184

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arXiv