UNSPECIFIED (2001) Divisibility of ideals and blowing up. ILLINOIS JOURNAL OF MATHEMATICS, 45 (1). pp. 163-165. ISSN 0019-2082

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Abstract

Let R be a Noetherian integral domain, let V = Spec(R), and let I, J be nonzero ideals of R. Clearly, if J is either a divisor of I or a power of I there is a map Bl(I)(V) --> Bl(J)(V) of schemes over V. The purpose of this note is to prove, conversely, that if such a map exists, then J must be a fractional ideal divisor of some power of I.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	ILLINOIS JOURNAL OF MATHEMATICS
Publisher:	UNIV ILLINOIS PRESS
ISSN:	0019-2082
Date:	2001
Volume:	45
Number:	1
Number of Pages:	3
Page Range:	pp. 163-165
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11616

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