The lifting of determinantal prime ideals |
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Authors: | Ngo Viet Trung |
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Institution: | 1. Institute of Mathematics, Bò H?, Box 631, Hanoi, Vietnam
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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.
The author is partially supported by the National Basic Research Program |
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