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The lifting of determinantal prime ideals

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Abstract

The main results of this paper show that a perfect prime ideal generated by the maximal minors of a matrix has the equality between symbolic and ordinary powers if the ideals generated by the low order minors of the matrix have grade large enough and that any determinantal prime ideal of maximal minors with maximal grade of a matrix of homogenous forms whose 2-minors are homogeneous can be lifted to a prime determinantal ideal having the above equality.

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Authors and Affiliations

  1. Institute of Mathematics, Bò Hô, Box 631, Hanoi, Vietnam

    Ngo Viet Trung

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  1. Ngo Viet Trung
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The author is partially supported by the National Basic Research Program

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Trung, N.V. The lifting of determinantal prime ideals. Manuscripta Math 91, 467–481 (1996). https://doi.org/10.1007/BF02567967

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  • DOI: https://doi.org/10.1007/BF02567967

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