ON THE FINITE GENERATION OF A FAMILY OF EXT MODULES
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
ON THE FINITE GENERATION OF A FAMILY OF EXT MODULES
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Creator |
PUTHENPURAKAL, TJ
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Subject |
local complete intersection
asymptotic associate primes cohomological operators COMPLETE-INTERSECTIONS COHOMOLOGY |
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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.
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Publisher |
PACIFIC JOURNAL MATHEMATICS
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Date |
2014-10-15T12:34:07Z
2014-10-15T12:34:07Z 2013 |
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Type |
Article
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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 |
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Language |
en
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