Bigraded structures and the depth of blow-up algebras
2006 ◽
Vol 136
(6)
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pp. 1175-1194
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Keyword(s):
Blow Up
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Let R be a Cohen–Macaulay local ring, and let I ⊂ R be an ideal with minimal reduction J. In this paper we attach to the pair (I, J) a non-standard bigraded module ΣI, J. The study of the bigraded Hilbert function of ΣI, J allows us to prove an improved version of Wang's conjecture and a weak version of Sally's conjecture, both on the depth of the associated graded ring grI(R). The module ΣI, J can be considered as a refinement of the Sally module introduced previously by Vasconcelos.
2009 ◽
Vol 37
(5)
◽
pp. 1594-1603
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1994 ◽
Vol 120
(4)
◽
pp. 1029-1029
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1994 ◽
Vol 133
◽
pp. 57-69
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Keyword(s):
1978 ◽
Vol 72
◽
pp. 93-101
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Keyword(s):
Keyword(s):
2013 ◽
Vol 212
◽
pp. 97-138
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2000 ◽
Vol 43
(1)
◽
pp. 73-94
Keyword(s):