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Aron_Simis

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									1040–                  Aron Simis∗ (aron@dmat.ufpe.br), UFCE, Brazil. Bounds for the mul-
                       tiplicity of the special fiber.
Given a standard graded ring A over a field k and a finitely graded A-module E generated in fixed
degree and having a generic rank, we look for methods to bound the multiplicity of the special
fiber R(E)/A+ R(E), which is a standard k-algebra again. There are potential applications for
the degrees of well-known algebraic varieties. (Received April 1st, 2008)




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