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ON THE FINITE GENERATION OF A FAMILY OF EXT MODULES

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Title ON THE FINITE GENERATION OF A FAMILY OF EXT MODULES
 
Creator PUTHENPURAKAL, TJ
 
Subject local complete intersection
asymptotic associate primes
cohomological operators
COMPLETE-INTERSECTIONS
COHOMOLOGY
 
Description Let (A, m) be a local complete intersection ring. Let M, N be finitely generated A-modules and let I be an ideal in A. We show that boolean OR(n >= 0)boolean OR(i >= 0) Ass Ext(A)(i) (M, I-n N) is a finite set. We also show that there exist i(0), n(0) such that for all i >= i(0) and n >= n(0) we have Ass Ext(A)(2i) (M, I-n N) = Ass Ext(A)(2i0) (M, I-n0 N), Ass Ext(A)(2i+1) (M, I-n N) = Ass Ext(A)(2i0+1) (M, I-n0 N). We prove analogous results for complete intersection rings which arise in algebraic geometry. We also prove that the complexity, cx (M, I-n N), is constant for all n >> 0.
 
Publisher PACIFIC JOURNAL MATHEMATICS
 
Date 2014-10-15T12:34:07Z
2014-10-15T12:34:07Z
2013
 
Type Article
 
Identifier PACIFIC JOURNAL OF MATHEMATICS, 266(2)367-389
http://dx.doi.org/10.2140/pjm.2013.266.367
http://dspace.library.iitb.ac.in/jspui/handle/100/14916
 
Language en