Local cohomology modules of bigraded Rees algebras

Mathematics – Commutative Algebra

Scientific paper

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11 pages. To appear in "Advances in Algebra and Geometry", Proceedings of Hyderabad Conference 2001

Scientific paper

Formulas are obtained in terms of complete reductions for the bigraded
components of local cohomology modules of bigraded Rees algebras of
0-dimensional ideals in 2-dimensional Cohen-Macaulay local rings. As a
consequence, cohomological expressions for the coefficients of the Bhattacharya
polynomial of such ideals are obtained.

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