A remark on regularity of powers and products of ideals
نویسندگان
چکیده
منابع مشابه
A remark on regularity of powers and products of ideals
Article history: Received 7 October 2016 Received in revised form 16 January 2017 Available online xxxx Communicated by S. Iyengar To the memory of our friend Tony Geramita MSC: 13D02; 13D40 We give a simple proof for the fact that the Castelnuovo–Mumford regularity and related invariants of products of powers of ideals are asymptotically linear in the exponents, provided that each ideal is gen...
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This is not the case in general. There are examples already with M = I such that reg(I) > 2 reg(I), see Sturmfels [15] and Terai [16]. On the other hand, Chandler [5] and Geramita, Gimigliano and Pitteloud [11] have shown that reg(I) ≤ k reg(I) holds for ideals with dimR/I ≤ 1. In general one has that reg(I) is asymptotically a linear function of k, see [14, 8]. If one takes I = m and M any gra...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2017
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.02.005