A question of Nori: projective generation of ideals

Bhatwadekar, S. M. ; Keshari, Manoj Kumar (2003) A question of Nori: projective generation of ideals K-Theory, 28 (4). pp. 329-351. ISSN 0920-3036

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Official URL: http://www.springerlink.com/content/q5885g04605733...

Related URL: http://dx.doi.org/10.1023/A:1026217116072


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 ⊂A[T] 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.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Projective Modules; Affine Domain; Unimodular Elements
ID Code:3210
Deposited On:11 Oct 2010 09:58
Last Modified:18 May 2011 09:31

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