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Primes associated to multigraded modules

✍ Scribed by Eric West

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
308 KB
Volume
271
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let R = n∈N t R n be a Noetherian multigraded ring, and let M be a finitely generated multigraded R-module. We investigate the asymptotic behavior of Ass R 0 (M n ). In case R is generated in total degree one, we show that the expected stability occurs. We also consider several non-standard cases. For general N-graded R, we show that {Ass R 0 (M n )} is eventually periodic, but need not be stable. For rings graded by N t , with t 2, we show that in some cases a form of periodicity holds, while in others there is a "cone" of stability.

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