Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras

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dc.creatorJayanthan, A. V.
dc.creatorVerma, J. K.
dc.date2002-06-19
dc.date.accessioned2026-07-07T04:49:13Z
dc.date.available2026-07-07T04:49:13Z
dc.descriptionThe 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0206192
dc.identifierhttp://arxiv.org/abs/math/0206192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64339
dc.subjectCommutative Algebra
dc.subject13D45 13D40 (Primary), 13H10 13H15 (Secondary)
dc.titleGrothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras
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