We prove a global effective membership result for polynomials on a non-reduced algebraic sub variety of C-N. It can be seen as a global version of a recent local result of Sznajdman. generalizine the Briancon-Skoda-Huneke theorem for the local ring of holomorphic functions at a point on a reduced analytic space.
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Univ Fed Minas Gerais, Dept Math, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, BrazilUniv Fed Minas Gerais, Dept Math, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, Brazil
Fernandez-Perez, Arturo
Barroso, Evelia R. Garcia
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Univ La Laguna, Dept Matemat Estadist & Invest Operat, Secc Matemat, Apartado Correos 456, Tenerife 38200, SpainUniv Fed Minas Gerais, Dept Math, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, Brazil
Barroso, Evelia R. Garcia
Saravia-Molina, Nancy
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Pontificia Univ Catolica Peru, Dept Ciencias, Secc Matemat, Av Univ 1801, Lima 32, PeruUniv Fed Minas Gerais, Dept Math, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, Brazil