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Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras

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Title Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras
 
Creator JAYANTHAN, AV
VERMA, JK
 
Subject hilbert-functions
reductions
bhattacharya polynomial
bigraded cohen-macaulay rees algebras
bigraded kirby-mehran complex
complete reduction
grothendieck-serre formula
joint reduction
mixed multiplicities
ratliff-rush closure
 
Description The Grothendieck-Serre formula for the difference between the Hilbert function and Hilbert polynomial of a graded algebra is generalized for bigraded standard algebras. This is used to get a similar formula for the difference between the Bhattacharya function and Bhattacharya polynomial of two m-primary ideals I and J in a local ring (A, m) in terms of local cohomology modules of Rees algebras of I and J. The cohomology of a variation of the Kirby-Mehran complex for bigraded Rees algebras is Studied which is used to characterize the Cohen-Macaulay property of bigraded Rees algebra of I and J for two dimensional Cohen-Macaulay local rings. . .
 
Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE
 
Date 2011-07-12T15:20:39Z
2011-12-26T12:48:57Z
2011-12-27T05:34:29Z
2011-07-12T15:20:39Z
2011-12-26T12:48:57Z
2011-12-27T05:34:29Z
2002
 
Type Article
 
Identifier JOURNAL OF ALGEBRA, 254(1), 1-20
0021-8693
http://dx.doi.org/10.1016/S0021-8693(02)00101-1
http://dspace.library.iitb.ac.in/xmlui/handle/10054/3364
http://hdl.handle.net/10054/3364
 
Language en