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- W2951133904 abstract "The classical generalized principal ideal 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." @default.
- W2951133904 created "2019-06-27" @default.
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- W2951133904 date "2002-09-15" @default.
- W2951133904 modified "2023-09-27" @default.
- W2951133904 title "Heights of Ideals of Minors" @default.
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