A Question of Nori: Projective Generation of Ideals |
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| Authors: | S M Bhatwadekar and Manoj Kumar Keshari |
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| Institution: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India |
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| Abstract: | Let A be a smooth affine domain of dimension d over an infinite perfect field k and let n be an integer such that 2n  d + 3. Let I  AT] be an ideal of height n. Assume that I = (f
1,...,f
n
) + (I
2
T). Under these assumptions, it is proved in this paper that I = (g
1,...,g
n
) with f
i
– g
i
(I
2
T), thus settling a question of Nori affirmatively. |
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| Keywords: | projective modules affine domain unimodular elements |
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