Kodiyalam, Vijay (2000) Asymptotic behaviour of castelnuovomumford regularity Proceedings of the American Mathematical Society, 128 (02). pp. 407412. ISSN 00029939

PDF
 Other
194kB 
Official URL: http://www.ams.org/journals/proc/200012802/S0002...
Related URL: http://dx.doi.org/10.1090/S0002993999050200
Abstract
Let S be a polynomial ring over a field. For a graded Smodule generated in degree at most P, the CastelnuovoMumford regularity of each of (i) its n^{th} symmetric power, (ii) its n^{th} torsionfree symmetric power and (iii) the integral closure of its n^{th} torsionfree symmetric power is bounded above by a linear function in n with leading coefficient at most P. For a graded ideal I of S, the regularity of I^{n} is given by a linear function of n for all sufficiently large n. The leading coefficient of this function is identified.
Item Type:  Article 

Source:  Copyright of this article belongs to American Mathematical Society. 
ID Code:  109108 
Deposited On:  25 Oct 2017 13:11 
Last Modified:  25 Oct 2017 13:11 
Repository Staff Only: item control page